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# Mixture | Algebra | AMC 8, 2002 | Problem 24

Try this beautiful problem from Algebra based on mixture from AMC-8, 2002.. You may use sequential hints to solve the problem.

Try this beautiful problem from Algebra based on Mixture from AMC-8, 2002.

## Mixture | AMC-8, 2002 | Problem 24

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?

• 34%
• 40%
• 26%

### Key Concepts

Algebra

Mixture

Percentage

AMC-8, 2002 problem 24

Challenges and Thrills in Pre College Mathematics

## Try with Hints

Find the amount of juice that a pear and a orange can gives…

Can you now finish the problem ……….

Find total mixture

can you finish the problem……..

3 pear gives 8 ounces of juice .

A pear gives $\frac {8}{3}$ ounces of juice per pear

2 orange gives 8 ounces of juice per orange

An orange gives $\frac {8}{2}$=4 ounces of juice per orange.

Therefore the total mixer =${\frac{8}{3}+4}$

If She makes a pear-orange juice blend from an equal number of pears and oranges then percent of the blend is pear juice= $\frac{\frac{8}{3}}{\frac{8}{3}+4} \times 100 =40$

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