Practice!

Sample Problem

A chef bought some peaches. 48% were small and the remaining were medium and large. The ratio of medium peaches to large peaches was 3:1. If there were 810 more small peaches than large peaches, how many peaches did the chef buy in all?

peaches

Solution

The percentage for the medium and large peaches: 100% – 48% = 52%

Medium sizes Large sizes Sum
3 1 (3+1=4)
 ___ %  ___ % 52%

Then, the percentage for large sizes: 52% ×  = 13%

The percentage for medium sizes: 13% × 3 = 39%

The percentage difference between small and medium sizes: 48% – 39% = 9%

Use the formula: Whole = Difference amount ÷ Percentage difference

Thus, the total number of peaches: 810 ÷ 9% = 9000