Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.

Question

PART A

Which of the following sequences of steps can be used to find the cost of each frozen meal?

Responses
A Multiply 9 by 2, then subtract the result from 22Multiply 9 by 2, then subtract the result from 22
B Subtract 9 from 22, then divide by 2Subtract 9 from 22, then divide by 2
C Divide 22 by 2, then subtract 9Divide 22 by 2, then subtract 9
D Subtract 9 from 22, then subtract 2Subtract 9 from 22, then subtract 2
Question 2
PART B

Which of the following shows the algebraic steps used to write and solve an equation to determine the cost of each frozen meal?

Responses
A












2 times open paren x plus 9 close paren is equal to 22 the fraction with numerator 2 times open paren x plus 9 close paren and denominator 2 is equal to 22 halves x plus 9 is equal to 11 negative 9 is equal to negative 9 x is equal to 2
B












2 x plus 9 is equal to 22 2 x over 2 plus 9 is equal to 22 halves x plus 9 is equal to 11 negative 9 is equal to negative 9 x is equal to 2
C












2 x plus 9 is equal to 22 negative 9 is equal to negative 9 2 x is equal to 13 2 x over 2 is equal to 13 halves x is equal to 6 point 5
D

Answer 1

PART A

To find the cost of each frozen meal, we need to follow these steps:

1. Aniyah spends $9 on paper towels, so we first subtract that amount from the total she spent, which is $22.
2. After that, we need to divide the remaining amount by 2 since she bought 2 frozen meals that have the same cost.

Thus, the correct response is: B: Subtract 9 from 22, then divide by 2.

PART B

To write and solve an equation to determine the cost of each frozen meal, we can represent the cost of each frozen meal as \( x \). The total cost equation would be:

1. \( 2x + 9 = 22 \) (since she buys 2 frozen meals at cost \( x \) each and spends $9 on paper towels)
2. Subtract 9 from both sides: \( 2x = 22 - 9 \)
3. This simplifies to \( 2x = 13 \).
4. Then, divide both sides by 2: \( x = \frac{13}{2} = 6.5 \).

However, when checking the given options:

The correct choice is: C: \( 2x + 9 = 22 \), then \( 2x = 13 \), and \( x = 6.5 \).

So the answers are:

• PART A: B
• PART B: C