Please Help with math word problem.

A community drama centre sells tickets to a play. They sell 216 tickets. Adult tickets cost $10.25 and students tickets cost $8. The total number of sales was $2117.25. How many students tickets were sold, how many adult tickets were sold?

Please show me how its done

Will make brainlist, thanks

Answers

Answer 1

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

To solve this problem, you'll need to set up a system of equations.Assume a = # of adult tickets soldAssume s = # of student tickets sold

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.

In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

a cancels, and now you solve accordingly.

-2.25s/-2.25 = -96.75/-2.25

s = 43

You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.

a + 43 = 216

- 43 -43

a = 173


Related Questions

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

What is the reciprocal of 5/6​

Answers

Answer:

6/5

Step-by-step explanation:

Answer:

The reciprocal of 5/6 would be 6/5

I will give you a good amount of points if you answer this correct​

Answers

Answer:

I think the answer is B. The equation has infinitely many solutions.

Step-by-step explanation:

4(3x + 4) = 15x + 12 - 3x + 4

*group like terms so 4(3x+4) = 15x - 3x + 12 + 4

*add similar elements 15x - 3x = 12x

*add the numbers 12 + 4 = 16

*Expand to 12x + 16 - 16 = 12x + 16 - 16

*You simplify 12x = 12x

*Subtract 12x from both sides

*Then Simplify which is 0

Which means Both sides are equal to 0

True for all X

Can y’all plz help me

Answers

Answer:

D. 10

Step-by-step explanation:

Assuming that <COA is a right angle, we can say that the two given angles are complementary

complementary angles are angles that add up to 90 degrees

this means we can create this equation: 3x + 46 + 14 = 90

so subtract 46 and 14 from 90: 3x = 30

divide both sides by 3: x = 10

Answer:

I think that it is letter D

Step-by-step explanation:

sorry if im wrong. but i hope this helps! :)

PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer:B

Step-by-step explanation:

Vertical angles are equal, so 4x - 20 = 60

what’s the answer? i need it asap please

Answers

Answer:

D

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

Classify the shape as precisely as possible based on its markings.
A) Rhombus
B) Parallelogram
C) Quadrilateral
D) Rectangle

Answers

Answer:

C??...

Step-by-step explanation:

Answer: I put b. Parallelogram

Step-by-step explanation:

the diagram shows what tina had left from a yard of fabric. she now uses 2/3 yards of fabric for a project.how much of the original yard of fabric did tina have after the project

Answers

Cant see the diagram

13 degrees below 0 pls

Answers

Answer:

-13

Step-by-step explanation:

5c + d = c+ 4d find the ratio c:d

Answers

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

2

c

)

(

3

5

c

)

+

(

3

4

d

)

+

(

6

d

)

(

6

2

c

)

15

c

+

12

d

+

6

d

12

c

Next, group like terms:

15

c

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

The answer is 3:4.

Given:

[tex]\to 5c + d = c+ 4d[/tex]

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]

so, the ratio is 3:4

Learn more about the ratio:

brainly.com/question/4534527

vonda has 6 pencils. lipe has 12 times as many pencils as vonda. let n equal the number of pencils lupe has?

which equation shows how many pencils lupe has

Answers

Answer:

i believe the answer would be 12 x 6 = n.

A city has a 5% sales tax.

A book costs $32.55 after tax.

How much did it cost before tax?
*please answer quick and tell me how you did it*

Answers

Answer: $30.92

Step-by-step explanation:

First step is to turn 5% into a decimal so that you can use it easier in a math sentence -- 0.05

Next, find out what 5% of $32.55 is by multiplying

0.05 x 32.55

= 1.6275

Round to the nearest cent because we don't use anything smaller than a cent when we are talking about money.

= $1.63

This is the amount of tax included in the price of $32.55

If we want to know what it the book cost before tax we simply take the tax off.

$32.55 - $1.63

= $30.92

Hope that helps :)

a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a square dance. What is the greatest number of sets possible at the dance?

Answers

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

[tex]\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}[/tex]

[tex]\text{Number of possible sets}=\dfrac{250}{8}[/tex]

[tex]\text{Number of possible sets}=31.25[/tex]

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

[tex]\text{Number of possible sets}\approx 31[/tex]

Therefore, the number of possible sets at the dance is 31.

Write the slope intercept form of the equation of the line through the given points

Answers

1) y = 2/3x - 2
2) y = -7/5x - 3
3) y = -3x + 1
4) y = -1/2x + 2

PLSSSSSSSSSSSSSSSSSSS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!


__% of 4 is 7

Answers

Answer:0.57142857142

Step-by-step explanation:

Answer:

57.142857142857% is what i got but i could be wrong

Step-by-step explanation:

is 355.95 correct when it was 325 with 10.5% tax ?

Answers

Answer:

359.13

Step-by-step explanation:

Sales tax rate: 10.5%;

Price without tax: $325 dollars;

Amount of sales tax ≈ $34.13 dollars;

Price with sales tax ≈ $359.13 dollars;

Someone please help ASAP

Answers

The answer to this question is Yes, No, Yes, No

Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?

1. 423.06
2. 307.18
3. 36.25
4. 108.173

Answers

Answer:

The second one

Step-by-step explanation:

Because 3 times 100 is equal to 300 and this is the answer choice either the number of the value with 300

A chef had 4/5 pound of ground beef to make burgers. Each burger was made with 1/8 pound of ground beef. Chris says that the chef can make 7 full burgers and Trisha says that the chef can only make 6 full burgers

Answers

Answer:

6

Step-by-step explanation:

If you divide 4/5 divided by 1/8 you get 6.4. Therefore, you can only make 6 full burgers.

Please give answer and graph

Answers

Answer:

x>10/4

Step-by-step explanation:

When you combine like terms, you get 10>4x and then divide by 4 and you get x>10/4. To plot this, you put an open point on 10/4 and highlight everything to the right of it with an arrow.

1. Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? *
plz help and explain
2. Of the 50 players in a school band, 12% play a woodwind instrument. How many players play a woodwind instrument? * Both different questions

Answers

Answer:

14

Step-by-step explanation:

add the stuff together

10 Select the answer from the menu.

The equations y = 7x – 2 and 14x – 2y = 3 represent

(A) parallel lines

(B) perpendicular lines

(C) the same line

(D) intersecting, non-perpendicular lines

Answers

Answer:

Parallel lines

Step-by-step explanation:

The standard form of equation of a straight line is expressed as:

y = MX+c

m is the slope

Given the equations

y = 7x – 2

On comparison;

m = 7 i.e the slope of the line is 7

For the line 14x – 2y = 3

First write in standard form

-2y = -14x +3

y = -14x/-2 + 3/-2

y = 7x- 3/2

Hence the slope is also 7

Since both equations have the same slope hence they are parallel lines(Parallel lines have the same slope)

Who pays more each month samantha or felipe

Answers

Answer:

felipe

Step-by-step explanation:

felipe is the answer because felipe. felipe is pay more than samamtha. its felipe

Answer:

Felipe

Step-by-step explanation:

felipe pays more than samantha will pay anyone.

A beverage company surveyed 450 adults to determine the demand for summer drinks.
How many people preferred drinking water?

A. 108 people
B. 174 people
C. 247 people
D. 276 people

Answers

Answer:

B

Step-by-step explanation:

total number of people minus people who prefer soda, iced tea, or lemonade= people who prefer water

450-101-67-108=174

Answer:

D: 276 preferred water

Step-by-step explanation:

please god help me solve this, i cant fail this assignment lol. i have learning disabilities- mostly with mathematics so please explain this in the most simple way possible like ur speaking to a 2 year old

Answers

Answer:

B) 5.7

Step-by-step explanation:

The area of a square is found by multiplying its sides. Since a square has perfectly equal side lengths, you know that the square root of the area is equal to the side lengths. The area is 33. The square root of 33 is roughly 5.7. Hope that helps!

Help me i don't understand this and i need a answer fast <3

Answers

Answer:

what grade r u in?

Step-by-step explanation:

Which decimal is greater than 0.15 and less than 0.7?
A. 0.81
B. 0.56
C. 0.76
D. 0.005​

Answers

Answer:

B. 0.56

Step-by-step explanation:

A. 0.81  > 0.7

B. 0.56  < 0.7 & 0.56 > 0.15

C. 0.76  > 0.7

D. 0.005​ < 0.15

6
Show how to find the product 0.19 x 109.

Answers

Answer: 20.71

Step-by-step explanation:

HURRY PLEAASEEE. 2x2 – 13x + 24 = 3

Answers

Answer:

7/2 and 3

Step-by-step explanation:

using quadratic formula

{-(-13) +- √(-13)^2 - 4(2)(21) } /2(2)

-(-13)+1 / 4 = 7/2

-(-13)-1 / 4 = 3

Answer: x = 7/2 and 3

Step-by-step explanation: Rewrite and factor

2x² —13x + 21 = 0

(2x - 7)(x - 3) = 0

2x - 7 = 0. x = 7/2

x - 3 = 0 x = 3

The price of a pair of shoes increases from $55 to $72. What is the percent increase to the nearest percent?
The percent increase is
%.

Answers

72 - 55 = 17

(17/55) x 100
= 1700/55
= 30.90909...
= 30.9% (3sf)

Answer: 55, 720

This is the answer. No doubt about it

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