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Matt weighs 3/5 of Paul’s weight. If Matt were to gain 4.8 pounds, he would weigh 2/3 of Paul’s weight. What is Matt’s weight in pounds?
Correct Answer: 43.2
Explanation/Reference:
, and Explanation:
Matt’s weight, m, is equal to 3/5 of Paul’s weight, p: m = 3/5p. If 4.8 is added to m, the sum is equal to 2/3 of p: m + 4.8 = 2/3p. Substitute the value of min terms of p into the second equation: 3/5p + 4.8 = 2/3p, 1/15p = 4.8, p = 72. Paul weighs 72 pounds, and Matt weighs 3/5 x 72 = 43.2 pounds.
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