Question

Lydia baked a total of 144 chocolate chip cookies and peanut butter treats for Valentine's Day. Initially, the ratio of chocolate chip cookies to peanut butter treats was 5:3. After Lydia's friends ate 2/5 of her chocolate chip cookies and some of her peanut butter treats, the cookies outnumbered the treats 6 to 1. How many peanut butter treats did she have left?

Answer 1

The ratios are equivalent and The ratios are a proportion.

Explanation:

Answer 2

If the initial ratio of cookies to treats was 5:3 and there were 144 combined cookies/treats, the initial number of cookies was 18 * 5 = 90 and the initial number of treats was 18 * 3 = 54. 2/5ths of 90 = 36, therefore, there were 54 cookies left. If the cookies now outnumbered the treats by 6:1, this means that there were 54/6 treats left, i.e., 9 treats.