Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of orange juice from 2 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice? (A) 30 (B) 40 (C) 50 (D) 60 (E) 70

Question

Mathematics

Dusty

11 November, 20:16

Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of orange juice from 2 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice? (A) 30 (B) 40 (C) 50 (D) 60 (E) 70

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Answers (1)

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Ramon Lutz · Answer 1

Step-by-step explanation:

A pear gives $8/3$ ounces of juice per pear. An orange gives $8/2=4$ ounces of juice per orange. If the pear-orange juice blend used one pear and one orange each, the percentage of pear juice would be

{8/3}/{8/3+4} X 100 = {8}/{8+12} X 100 = 40%