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Ken, Leo and Mandy donated some money. Ken donated 1/4 of the total amount Leo and Mandy donated. Mandy donated 4/11 of the total amount of money that Ken and Leo donated. Leo donated \$37.50 more than Ken. Express the amount of money Leo donated as a decimal if he had \$100 initially.

Sep 14, 2021
edited by KourageKowardlyDog  Sep 14, 2021

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Ken, Leo, and Mandy donated some money. Ken donated 1/4 of the total amount Leo and Mandy donated. Mandy donated 4/11 of the total amount of money that Ken and Leo donated. Leo donated \$37.50 more than Ken. Express the amount of money Leo donated as a decimal if he had \$100 initially.

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Ken donated ====>  x

Leo donated ====>  37.50 + x

Mandy donated ==>  4/11(37.50 + 2x)

Leo + Mandy = 37.5 + x + 4/11(37.5 + 2x)

37.5 + x + 4/11(37.5 + 2x) = 4x          ("4x" is 4 X Ken's donation)

x = 22.5

So, Leo donated \$60 out of \$100, and that is 0.6

Oct 6, 2021