Question

16. Mika can use his juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of
orange juice from 2 oranges. He makes a pear-orange juice blend from an equal
number of pears and oranges. What percent of the blend is pear juice?
​

Answer 1

Given:

Mika uses his juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of  orange juice from 2 oranges

He makes a pear-orange juice blend from an equal  number of pears and oranges

To find:

What percent of the blend is pear juice?

Solution:

Since 3 pears gives 8 ounces of pear juice

∴ 1 pear will give = $\frac{8}{3}$ ounces of pear juice

Also, since 2 oranges gives 8 ounces of orange juice

∴ 1 orange will give = $\frac{8}{2} =$ 4 ounces of orange juice

We are given that a pear-orange juice are blend from an equal number of pears and oranges. So lets assume that the pear-orange juice is blend using one pear and one orange.

∴ The percentage of pear juice in the pear-orange blend is given by,

= $\frac{Ounces\: produced \:from \:1\: pear}{Total\: ounces\: from \:1 \:pear\: \&\: 1\: orange}\times 100$

= $\frac{\frac{8}{3}}{\frac{8}{3} + 4} \times 100$

= $\frac{\frac{8}{3}}{\frac{8+12}{3} } \times 100$

= $\frac{8}{20} } \times 100$

= $\frac{2}{5} } \times 100$

= $2 \times 20$

= $\bold{40\%}$

Thus, 40 percentage of the pear-orange blend is pear juice.

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