Red and Yellow Plums

One store sold red plums at 4 for \$1 and yellow plums at 3 for \$1. A second store sold red plums at 4 for \$1 and yellow plums at 6 for \$1. You bought m red plums and n yellow plums from each store, spending a total of \$10. How many plums in all did you buy?
Source: NCTM Mathematics Teacher, September 2006

Solution
In dollars the following equation depicts how you spent \$10 at the two stores
m(1/4)+n(1/3)+m(1/4)+n(1/6)=10
Collect like terms and simplify
m(1/2)+n(1/2)=10
m+n=20
At each store you purchase 20 plums; in all you bought 40 plums.

Answer: 40

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About mvtrinh

Retired high school math teacher.
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