Question

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?

$30$

$40$

$50$

$60$

$70$

Solution:

Use $6$ pears and $6$ oranges, which is an equal number of each fruit.

Since $3$ pears make $8$ ounces, $6$ pears make $16$ ounces. Since $2$ oranges make $8$ ounces, $6$ oranges make $24$ ounces.

The blend has $16+24=40$ ounces total, of which $16$ ounces is pear juice. The pear-juice percent is $16/40=40\%$ .

Thus, B is the correct answer.

2002 AMC 8 Problem 24

Solution:

Problem 24 in Other Years