Three brothers Adam, Paul, and Jake are standing on a large carnival scale. The total weight for all three boys reads 180 pounds on the scale. The ratio of the weights between Adam and Jake is 2:3. If Jake weighs 60 pounds, how much does paul weigh?

Question

Mathematics

Jackpot

30 November, 02:20

Three brothers Adam, Paul, and Jake are standing on a large carnival scale. The total weight for all three boys reads 180 pounds on the scale. The ratio of the weights between Adam and Jake is 2:3. If Jake weighs 60 pounds, how much does paul weigh?

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Answers (1)

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Darien Cole · Answer 1

Paul = 30 pounds

Step-by-step explanation:

If Adam (A), Paul (P) and Jake (J) together they weigh 180 pounds (A+P+J=180); and Adam and Jake is 2:3 (2A=3J) then how much does paul weigh?

A+P+J=180, 2A=3J, J=60 we have; A = (3/2) J = (3/2) * 60 → A=90, 90+P+60=180 →

P=180-90-60 → P=30