Write a system of equations to model the problem below. Then show the steps to solve your system.



Heather's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 adult tickets and 7 student tickets for a total of $120. The school took in $168 on the second day by selling 12 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

Answer 1

Answer:

Price of adult ticket = x = $13

Price of student ticket = y = $6

Step-by-step explanation:

Let Price of adult ticket = x

Price of student ticket = y

Now, making equations:

On the first day of ticket sales the school sold 6 adult tickets and 7 student tickets for a total of $120. The equation will be:

[tex]6x+7y=120[/tex]

The school took in $168 on the second day by selling 12 adult tickets and 2 student tickets. The equation will be:

[tex]12x+2y=168[/tex]

Now, solving the equations simultaneously to find values of x and y.

Let:

[tex]6x+7y=120--eq(1)\\12x+2y=168--eq(2)[/tex]

Multiply eq(1) by 12 and then subtract both equations

[tex]12x+14y=240\\12x+2y=168\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\--------\\12y=72\\y=\frac{72}{12}\\y=6[/tex]

So, we get value of y: y=6

Now, Put value of y in equation 1 to find value of x

[tex]12x+2y=168\\Put\:y=6\\12x+2(6)=168\\12x+12=168\\12x=168-12\\12x=156\\x=\frac{156}{12}\\x=13[/tex]

So, we get value of x: x=13

The answer would be:

Price of adult ticket = x = $13

Price of student ticket = y = $6


Related Questions

What is the value of b?

Answers

The answer is 128. Therefore it’s C.

Answer:

ans 128 is correct answer

I’ll mark brainliest I’m so lost w this

Answers

Answer:

The Area of the sector is: A = 95.4 cm²

Step-by-step explanation:

Given

Central angle Ф = 135°

radius r = 9 cm

To determine

Area of the sector = ?

The Area of the sector can be calculated using the formula

A = Ф/360 × πr²

substitute Ф = 135°, r = 9 and π = 3.14

A = 135/360 × (3.14) (9)²

A = 95.4 cm²

Therefore, the Area of the sector is: A = 95.4 cm²

Warm-Up
The table shows two equations and their graphs. Determine which equation each point is a solution to, and drag it to the
correct location on the table.
y = 3x + 4
y=-3x+1
+3
12
+1
at
ht
-6 -5 -4 -3
2-1
.
1 2 3 4 5
2
TELAH
Solutions:
Solutions:
(0,4)
(-2,2)
(4,-1)
(0,1)
(-1,1)
(-2,-2)

Answers

Answer:

Right on edmentum

Step-by-step explanation:

What is the slope of the line through
(-9, 6) and (-6, -9)? Show your work.


Answers

Answer:

-5

Step-by-step explanation:

solve the equation 8 1/4 / d = 2/11

Answers

Answer:

8 1/4

Step-by-step explanation:

-3(4x-1) + 9x +8x if x = -9

Answers

Answer:

-42

Step-by-step explanation:

If x + y = –10 and x - y = 2, what is the value of x?

Answers

Answer:

y -10

x graph

Step-by-step explanation:

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.

Fractions closer to 1 than to 0

Answers

Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

Leon's mother paid $2.16 for 3 pounds of sugar.
How much would 1 pound of sugar cost?

Answers

Answer:

.72

Step-by-step explanation:

Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Answers

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

then,subtracting 1st and 2nd eqn

9x+5y=41

9x+9y=81

- - -

__________

0. -4y=-40

we get y = 10

then we get x=9-y

x=9-10

x= -1

so x is -1 and y is 10

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $15, and tickets cost $12.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

100

Step-by-step explanation:

What is the answer to 7(5-8x) > 147

Answers

Answer: x < -2

Step-by-step explanation:

A recipe calls for 2 cups of flour and 1 1/2 cup milk to make four servings. Ming has plenty of flour, but only 6 cups of milk. How many servings can he make?

Answers

the answer is 12, explanation: 1.5•3=6 then you multiply three by four to get your answer.

If f(x) = 2x2 - 3, which expression represents f(x + 2)?

Answers

fx+2f

I honestly don’t know for sure but I think that’s the answer.

The diameter of a circle is 8 cm. Find its circumference in terms of pi

Answers

Answer:

25.13 or 8 × pi

Step-by-step explanation:

diameter × pi = circumference

Answer:

Step-by-step explanation:

formula for circumference of a circle=

C=2πr, r= radius

the radius is the diameter divided by 2

radius= 8/2=4

plug into formula

C=2π4

multiply 2 and 4

C=8π

5(7+f+2x) PLEASE HELP.​

Answers

Answer:

5f+10x+35

Step-by-step explanation:

5(7+f+2x)

=(5)(7+f+2x)

=(5)(7)+(5)(f)+(5)(2x)

=35+5f+10x

=5f+10x+35

      lol college stuff looks hard:o

What is the equation of the line that passes through the point (2,0) and has a slope
of 5/2

Answers

Answer:

y = 5/2x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

3x+1=6x-4 solve for x

Answers

Answer:

x = 5/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

3x + 1 = 6x - 4

Step 2: Solve for x

Subtract 3x on both sides:                    1 = 3x - 4Add 4 to both sides:                              5 = 3xDivide 3 on both sides:                          5/3 = xRewrite:                                                   x = 5/3

Answer:

Exact form

x=5/3

Decimal form

x=1.6

Mixed number form

x= 1 2/3

Step-by-step explanation:

(-2x)^4 simplified??

Answers

Answer:

16x^4

Step-by-step explanation:

first compute -2 to the 4th power, then x to the 4th power

(-2)^4= positive 16 because of parentheses and the exponent(4) is even

(x)^4 is just x^4

so multiply 16 and x^4 together and you get 16x^4

Answer:

Step-by-step explanation:

here you go mate'

step 1

(-2x)^4  equation

step 2

(-2x)^4  put (-2x) in four places

(-2x)(-2x)(-2x)(-2x)

step 3

(-2x)(-2x)(-2x)(-2x)  multiply

answer

16x^4

Write 3/8 as a decimal​

Answers

0.375 that’s the answer

Sixth sevenths times seven tenths

Answers

answer : 0.6





hope this helps !! ^-^

Answer: 0.6

Step-by-step explanation:

​Sam has 24 cats. He wants to divide the cats into 3 equal groups. How many cats will be in each group? Move the cats into squares. Use the text or draw tool to complete the equation. Explain your thinking.

Answers

Answer:

There will be 8 cats in each group.

Step-by-step explanation:

You do 24 divided by 3, which is 8. So, there will be 8 cats in each group.

Answer:

8

Step-by-step explanation:

its very simple math for1 grade

solve the inequality 4x - 1 > 15

Answers

Answer:

x>4 is the solved inequality

Step-by-step explanation:

4x-1>15

4x>16

x>4

Answer:

hey mate here is ur answer:--------------------------------------------------

4x-1>15

x>4 is solved inequality

4x-1>15

4x>16

x>4

I hope this helps you

have a nice day

Find the shaded area
Help please

Answers

Answer:

Area= 49[tex]\pi[/tex] or 153.94 or 147 (Since Pi= 3)

Circumference= 14[tex]\pi[/tex] or 43.98 or 42 (Since Pi= 3)

Step-by-step explanation:

[tex]A=\pi rx^{2}[/tex]

[tex]C=2\pi r[/tex]

Solve for the value of X.
-4x + 3 = 35

Answers

Answer:

-8

Step-by-step explanation:

Answer plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

10+60t≤280

60t≤280-10

60t≤270

6t≤27

2t≤9

t≤9/2

t≤4.5

t=4 hours

first subtract $10 from$280 and you get $270

270 divided by 60 = 4.5

so the answer is four and a half hours

9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft

Answers

Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?

need asap

Answers

Answer:

7×63=441

Step-by-step explanation:

441 cans of tennis

Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?

help asappp!!!

Answers

Answer:

The kind of ice cream the least number of students prefer is Strawberry ice cream.

Step-by-step explanation:

We convert all given values to decimal

Hiroshi found that:

a) For vanilla ice cream

3/5 of his class prefers vanilla ice cream

3/5 to decimal = 0.6

b) For Chocolate ice cream

26% prefers chocolate ice cream

26% to decimal = 0.26

c) For strawberry ice cream

0.14 prefers strawberry ice cream

0.14 = 0.14

Arranging the numbers in order from least to greatest, we have :

0.14, 0.26 , 0.6

The kind of ice cream the least number of students prefer is Strawberry ice cream.

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