Question

Cheryl and Mia go to buy some candy. Cheryl buys 24 pieces of peach candy and some strawberry candy. Mia buys 12 pieces of peach and twice as much strawberry candy as Cheryl. How much strawberry candy should Cheryl buy so that both have the same amount of candy?

A. Cheryl and Mia will have the same amount of candy if Cheryl buys 24 pieces of strawberry candy


B. Cheryl and Mia will have the same amount of candy if Cheryl buys 2 pieces of strawberry candy.


C. Cheryl and Mia will have the same amount of candy regardless of how much strawberry candy Cheryl buys.


D. Cheryl and Mia will have the same amount of candy if Cheryl buys 12 pieces of strawberry candy.

Answer 1

Let x be the amount of strawberry candy that Cheryl should buy so that both have the same quantity.

Cheryl buys x pieces of strawberry candy and 24 pieces of peach candy. Write an expression to model the amount of candy she buys.

x + 24

Mia buys 2x pieces of strawberry candy and 12 pieces of peach candy. Write an expression to model the amount of candy she buys.

2x + 12

To find the amount of strawberry candy that each of them buy, create an equation using the two expressions and solve for x.

x + 24 = 2x +12

12 = x

Therefore, Cheryl and Mia will have the same amount of candy if Cheryl buys 12 pieces of strawberry candy

Answer 2

Answer: D

Explanation:

Cheryl - 24 peach candy

x strawberry candy

Mia - 12 peach candy

2x strawberry candy

both have the same amount of candy, so:

24 + x = 12 + 2x

24 - 12 = 2x - x

12 = x

Cheryl - 24 peach candy

12 strawberry candy

Mia - 12 peach candy

24 strawberry candy

option D