Try this beautiful problem from Algebra based on Mixture from AMC-8, 2002.
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?
Algebra
Mixture
Percentage
Answer:40%
AMC-8, 2002 problem 24
Challenges and Thrills in Pre College Mathematics
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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