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Monica and Ryan shared 36 cookies. If Monica ate 29 of the cookies, and Ryan ate 13, how many cookies were left for them to share?

a. 5
b. 7
c. 9
d. 11

1 Answer

3 votes

Using the concept of fractions and proportions, if Monica ate 2/9 of the cookies, and Ryan ate 1/3, the quantity left for them to share is 16 cookies.

To solve:

The total number of shareable cookies = 36

The number of sharing partners = 2 (Monica and Ryan)

The proportion (fraction) eaten by Monica = 2/9

The proportion (fraction) eaten by Ryan = 1/3

The total fraction eaten by Monica and Ryan = 5/9 (2/9 + 1/3)

The remaining fraction left = 4/9 (1 - 5/9)

The total eaten by Monica and Ryan = 20 (36 x 5/9)

The number of cookies remaining = 16 (36 x 4/9)

Thus, we can conclude that Monica and Ryan ate 20 cookies with 16 left for them to share.

Complete Question:

Monica and Ryan shared 36 cookies. If Monica ate 2/9 of the cookies, and Ryan ate 1/3, how many cookies were left for them to share?

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