Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?

Answers

Answer 1

Given:

Total number of tickets = 600

Cost of adult ticket = $6.00

Cost of student ticket = $4.00

Total sales = $2900.00

To find:

The number of tickets of each type.

Solution:

Let the number of adult tickets be x and number of student tickets be y.

According to the question,

[tex]x+y=600[/tex]        ...(i)

[tex]6x+4y=2900[/tex]      ...(ii)

Multiply equation (i) by 4 and subtract the result from (ii),

[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]

[tex]6x+4y-4x-4y=2900-2400[/tex]

[tex]2x=500[/tex]

Divide both sides of 2.

[tex]x=250[/tex]

Put x=250 in (i).

[tex]250+y=600[/tex]

[tex]y=600-250[/tex]

[tex]y=350[/tex]

Therefore, number of adult tickets is 250 and number of student tickets is 350.


Related Questions

How do functions work? Could someone explain how to know which questions are functions or not

Answers

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x  equals 2.

Step-by-step explanation:

here is a step by step equation:

f(x) = x + 7

if:

x=2

then:

f(2) = 2 + 7 = 9

A function is linear if it can be defined by

f(x) = mx + b

Makes sense? Hope I helped

plus I'm in middle school learning this also.

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Answers

Answer:

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Step-by-step explanation:

Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?

Answers

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Graph the line y=-2/3x+3

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

3

)

x

y

0

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?

Answers

Answer:

25

Step-by-step explanation:

take C as what Cj has, and J what Jordan has.

Cj has $50 more than Jordan has, so:

C = 50 + J

Together they have $100, so:

C + J = 100

is a system of 2 equations with 2 unknown (C and J):

C - J = 50

C + J = 100

Adding both equations:

2C = 150 ⇒ C = 75

From second equation: J = 25

14) Which equation represents the line that passes through the point (4,1) and (20,-3)?
A) X-4y = 2
B) x + y = 2
C) 2x + 8y = 16
D) 2x + 4y = 4​

Answers

Answer:

All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is x+4y=8.

Step-by-step explanation:

The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).

I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.

But I hope this helps and answers your question :)

Guys plz help me answer this!!!!

Answers

Answer:

p= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?

Answers

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

PLZ HELP!!!! I"LL GIVE BRAINLIEST!!! AND 5 STARS! :) (^-^)
combine like terms,
-19 + 12x + 9
PLZ HELP!!!!!!!!!!!

Answers

the answer would be -2 i think!!

Answer:

= 12x − 10 :)

Step-by-step explanation:

Honestly I don't know what to do at this point

You are trying to find the distance d across the river, but your map is incomplete. ABC is similar to EDC

Answers

Answer:

175 ft

Step-by-step explanation:

So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.

Answer:

175 ft

Step-by-step explanation:

So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.

Plssss helpppp ASAPP
will mark BRAINLIEST!!!

Answers

Answer:

the last two

Step-by-step explanation:

Help Please!

5=(2m-b)/(m+b)

Answers

Answer:

m=−2b

b=−m/2

work: i just know

In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR

Answers

Answer:

124°

Step-by-step explanation:

(11x + 3)° + (x + 15)° + (2x + 8)° = 180°

14x + 26 = 180

14x = 154

x = 11

m∠R = [11(11) + 3]° = 124°

Simplify (62)2 what does it equal

Answers

Answer:

124

Step-by-step explanation:

62 * 2 = 124

I hope this helped! Please mark Brainliest, thank you so much!!!

The answer is 62 x 2 = 124

It’s drag and drop please help

Answers

the first one is 4n+7=15, the second one is 1/4(n-15), the third one is 1/4n-15, the fourth one is n/7=4, and the last one is n4+7=15

Answer:

seven more than four times a number is fifteen -    4n+7=15

one-fourth the difference of a number and 15 -      1/4 (n-15)

one fourth a number decreased by 15 -      1-4 n - 15

the quotient of a number and seven is four -    n divided by 7 = 4

a number raised to the power of four increased by 7 is 15 -   n to the power of 4 - 7=15

Step-by-step explanation:

Find the value of x so that the function has the given value.

m(x) = 4x + 15; m(x) = 7
x = ___

Can you also explain how you solved it please. I might have some other problems using the same format. Thank you!

Answers

Answer:

-2

Step-by-step explanation:

Enter an equation in point-slope form

The slope of the line is 2/5, and it contains the point: (−2, 7).

Answers

Answer:

y = 2/5x + 39/5

Step-by-step explanation:

point slope form is y = mx + b

so far we have y = 2/5x + b

m is slope which is given. We need to find b which is y-intercept.

They give us the point (-2,7). We can plug this into the equation to find b.

7 = 2/5(-2) + b

7 = -4/5 + b

b = 39/5

The equation now looks like y = 2/5x + 39/5

Hi Have a good day :)

Answers

Answer:

Thank you so much!!

Step-by-step explanation:

Have a good day also :)

Answer:

Thanks :)

Step-by-step explanation:

suppose y varies directly with x, and y=25 when x=140. what is the value of y when x=36

Answers

Answer:

[tex]\displaystyle y=\frac{45}{7}[/tex]

Step-by-step explanation:

Direct Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]\displaystyle \frac{y}{x}=k[/tex]

Where k is a constant.

We know y=25 when x=140, and it's required to find the value of when x=36.

For any pair of values (x,y), their ratio is constant:

[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]

Multiplying by 36:

[tex]\displaystyle y=36*\frac{25}{140}[/tex]

[tex]\displaystyle y=\frac{900}{140}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]

3 3/10 ÷ 1 4/7?



erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)

Answers

Answer:

2 1/10 would be your answer

Answer:

The answer is 21/10 or 2.1

Choose the function with the largest constant of variation.​

Answers

Answer:

he answer is the third one

Step-by-step explanation:

I did it on edge

Factor -4 out of -8d + 20.
The factored expression is

Answers

2d-5 divide all numbers by -4

The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides

Answers

Answer:

8:4

Step-by-step explanation:

Given that,

The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16

We need to find the ratio of their sides. For similar polygons, the ratio of  the area is proportional to the square of the ratio of their corresponding sides.

Let sides are x₁ and x₂. So,

[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]

So, the required ratio is 8:4.

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?

Answers

Answer:

In 4 Hours

Step-by-step explanation:

1 hour:   A: 30.25           B: 34.25

2 hours: A: 35.5             B: 38.5

3 Hours: A: 40.75          B: 42.75

4 Hours: A: 46                B: 46

question in the picture

Answers

Answer:

a

Step-by-step explanation:

1/4 = 0.25

Answer: 1/4 < 0.45

Step-by-step explanati

Hershey Park is a popular field trip destination. This year Peirce and Stetson both planned trips there. Peirce rented and filled 16 vans and 8 buses with 752 students. Stetson rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Answers

A can can hold 18 kids! A bus can hold 58 kids!
A can can holp 5 kids lol

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance.

Answers

Here is the complete question.

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below.

a) What is the total of minimum payments?

b) What is the total sum of the finance charges?

c) How much does the starting balance decrease after these three payments?

d)The total of your finance charges is what percent of our total payments?

Answer:

Step-by-step explanation:

Month       Beginning        Finance          New               Minimum

                  Balance          Charge            Balance        Payment

1          $ 1200             24.99           1224.99            36.75

2          1188.24             24.75          1212.99            36.39

3          1176.60             24.50           1201.10            36.03

4          1165.07             24.26           1189.33             35.68

a.

The total minimum payments for 3 months = 36.75 + 36.39 + 36.03

The total minimum payments for 3 months = $ 109.17

b.

Total finance charges for 3 months = 24.99 + 24.75 + 24.50

Total finance charges for 3 months = $ 74.24

c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93

d. The total of finance charges = 74.24×(100/109.17)

The total of finance charges = 68% of total payments.

MEANING OF 万華鏡 AND ビアクガン

Answers

Answer:

kaleidoscope and Biakgan

Step-by-step explanation:

0.62, 0.38, 0.35, 0.49, 0.1, 0.21, 0.54, 0.6, 0.51, 0.28 Least to Greatest *

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.

Other Questions
What members of the community do you feel will be the most helpful in preventing youth violence? Complete sentence :) HELP PLZ IM BEING TIMED!!What is the vertical acceleration of a dart that is launched horizontally with an initial velocity of 2.3 m/s? -9.8 m/s2 0 m/s2 2.3 m/s2 9.8 m/s2 If all chloroplasts were removed from all living things, which substanceswould no longer be produced? Who first thought of the idea that government, like in the Constitution, should be broken into 3 equal branches?HELP PLEASE!!!!!!!!!!!!!!!!!!!!!! A material that provides resistance to the flow of electric current is called a(n):circuitconductorinsulatorresistor PLEASE HELP ASAPName the special segment i will give u brainliest Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me. Is the equation a linear function or nonlinear function?y = 5x + 3 A twirlers baton is 0.76 m long and spins around its center. The end of the baton has a centripetal acceleration of 47.8 m/s2?A 0.31 sB 0.56 sC 4.3sD 70s How much 1.50M KBr can be made from 15.6 mL of concentrated KBr with a molarity of 9.65 M? An example of a macromolecule is a(n)a.oxygen atomb.monosaccharide c.glucose molecule d.polysaccharide x^20-1=0,how many real roots does each have don't guess!! pls help!!THERE'S 4 IMAGES. Your teacher placed a 3.5 kg block at the position marked with a + (horizontally, 0.5 m from the origin) on a large incline outlined on the graph below and let it slide, starting from rest. ***There are two images included!*** Which statement best explains how Greek architects contributed to architectural design?They constructed buildings to serve specific purposes.They used stone instead of wood to construct buildings.They carved sculptures into the buildings they constructed.They constructed buildings to honor important Greek leaders. What does this model imply about the relationship between two processes All but one choice could apply Arturo, Pedro y Jorge son hermanos y duermen en la misma habitacin. Su padre compr pintura para que entre los tres pinten su cuarto. Arturo como es el ms grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. Qu fraccin de la habitacin pintar Pedro? Y Jorge? Explica cmo llegaste a ese resultado. please help i will give brainist when i can :) ____________________ is the process by which a cell makes a copy of the DNA in its nucleus.A Replication B Restoration C Reduction D Reproduction