Question

Jessica made 124 cookies. She put the cookies into three boxes, A, B and C.
Box A contained 16 cookies fewer than Box B. Box C contained thrice as many
cookies as Box B. How many cookies were there in Box C?

Answer 1

There are 78 cookies in box C, 26 cookies in box B and 10 cookies in box A.

let the number of cookies in first box be represented mathematically as   B-16

the number of cookies in second box be represented as B

the number of cookies in third box be represented as 3B

Since there are 124 cookies we can make an equation  such that it becomes

B-16 +B +3B =124

Solving for B, we have

5B -16 =124

5B =124 +16

5B =130

B=130/5

B=26

Therefore Box A contains B-16 =26-16 =10 cookies

Box C contains 3B =3 X 26=78 cookies

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