Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.

Answers

Answer 1
Let S = student
Let A = adult
First equation is total tickets
Second should be the cost
S + A = 125
6S + 10A = 850
Use substitution or elimination
S + A = 125
S = -A + 125
I used substitution
6(-A + 125) + 10A = 850
-6A + 750 + 10A = 850
4A + 750 = 850
4A = 100, A = 25 adult tickets
125 - 25 = 100

Solution: 100 student tickets
Answer 2

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

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

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850


Related Questions

If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?

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Answer:

Step-by-step explanation:

Coco

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Space Jam 2

Prob since I’ma basketball fan :)))

mutiple choice pls help ! ( link = report )

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48 units since the angle is more obtuse and down

Answer:

24 units2

Step-by-step explanation:

Hope it helps !! :)


Can u please help me

Answers

7.48 unless you need it rounded up to 7.5

what is the order of the numbers from least to greatest?

-4, 9, 6, -8, -9
please help! whats the correct order

Answers

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

Write an expression for the operation described below.
the product of 2 and c

Answers

Answer:

2c or 2 x c

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0

HELPPP hurryyy please

Answers

Answer:

C) x < 6

Open circle is no line under, closed circle has a line under.

The arrow also goes left so x must be less than 6

what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!​

Answers

(1, -2)

The vertex is simply the turning point.

What is the measure of ZZYW in rhombus WXYZ?
779
w
Z
O A 38.5
OB 51.5
D103

Answers

Answer:

A. 38.5

Step-by-step explanation:

Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.

is 11 1/3 greater than 34/3

Answers

Answer:

Equal

Step-by-step explanation:

The two terms are equal.

When you convert 11 1/3 into an improper fraction, it is 34/3.

A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)

Answers

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?

Answers

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

 

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

 

g - 20 = 4(s - 20)

g - 20 = 4s - 80

 

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

 

2s - 20 = 4s - 80

       60 = 2s

       s = 30

 

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

 

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.

which graph represents the function y=2/3x-2?

Answers

I think this is it.

Take away 8 from 2 times m

Answers

Answer:

Take away 8 from 2 times m

2m - 8

Guys pls help me!!!!!

Answers

Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

The answer is B forth

2x+3=4x(3x-5)
what is the value of x

Answers

Answer:

X=11+ √157/12

x= 11-√157/12

Step-by-step explanation:

2x+3=12x^2 -20x

Move all terms to one side.

2x+3−12x2+20x=02x+3−12x ^2+20x=0

Simplify  

22x+3−12x^2=0

Use the Quadratic Formula.

a= -12

b= 22

c= 3

Just use photomath loll

2x +10
what does this equal

Answers

Answer:

x=5

Step-by-step explanation:

2x+10

______

2     2

x=5

Answer:

x = 5

Step-by-step explanation:

Step 1: Get the variable alone

Divide x from both sides.

2x + 10

2       2

Step 2: 10 divided by 2

10 divided by 2 equals 5

Answer: x = 5


HELPP URGENT!
16. Guests who rent kayaks at a campground must pay an insurance fee and are charged
for each hour they use the kayak. Last year, the total cost for a guest to rent a kayak for
x hours was modeled by the expression 6 + 8x.
This year, the campground doubled the cost per hour for renting a kayak but kept the
insurance fee the same.
Which expression models the total cost for a guest to rent a kayak for x hours at the
campground this year?
A. 12 + 8x
B. 6 + 16x
C. 6 + 4x
D. 3 + 8x

Answers

Answer:

B.

Step-by-step explanation:

I had this question on a test and got it right

The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

What is the model about?

Note that in the question:

Last year = 6 + 8x.

Looking at the equation one can see that the premium is = 6

kayaks  is known to be charging at 8

So we have to double the value which is:

8 x 2 = 16

So therefore, the equation will be:

16x + 6

Therefore, The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

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PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.

Answers

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.

Answers

Answer:

3 4/5

380%

3.8

plz can i get brainliest

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8.1÷4​

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Answer:

2.025

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B

You are considering buying organic milk at the grocery store. A gallon of organic milk costs $1.00 more than a regular gallon of milk. Write an equation to represent the additional cost (C) of buying a gallon of organic mik over time (t) where x represents the cost of a gallon of regular milk​

Answers

Answer:

C= $1t + x

Step-by-step explanation:

So,  an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.

But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.

But now, the expression we wrote is equal to C so, now the equation is C=$1t + x

I NEED HELP ON THIS ASAP

Answers

Answer:

A.

1 muffin equals $2.08 for the first package.1 muffin equals $1.91 for the second package.1 muffin equals $1.88 for the third package.

B.

Option B gives the lowest unit price.

Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.

Answers

Answer: Look st the picture below.

Step-by-step explanation: I got this right on Edmentum.

Michael left home at 1400 and arrived at his uncle’s home at 1830. What will be the
average speed of his journey if he travelled 108 km?

Answers

Step-by-step explanation:

Michael's Journey Time = 4 hours and 30 mins

=

[tex]4.5hours[/tex]

Speed = Distance ÷ Time

Given Distance = 108km

Time = 4.5 hours

Speed =

[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]

My bad the answer is

Answer: 24 kilometers per hour

help me please ;n; ;D

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Answer:

sure ;D its 12.25 :p

Step-by-step explanation:

PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS

Answers

Answer:

I think the Las t answer

Step-by-step explanation:

prime minister and members of the legislature

Answer:

Prime ministierer only :P

Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.

Three times the difference between a number and six is eighteen.

Answers

Pls be careful when clicking on links they seem unsafe

Which fraction is a name for the point that is labeled with the question mark on the number line?
A) 4/8
B) 3/4
C) 1/4
D) 2/4

Answers

Answer:

The awnser is C it is 2/8 simplified to 1/4

Step-by-step explanation:

I need help lol. Please dont give me a random link to download just the answer please.​

Answers

Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40

Answers

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

What is triangle ?

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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