Question 884919
Daniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141.How old is Rachel?
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Equations:
D = (3/20)S
L = (3/4)S
R = 3D = (9/20)S
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R + L + D + S = 141
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Substitute and solve for "S"
(9/20)S + (3/4)S + (3/20)S + S = 141
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multiply thru by 20 to get;
9S + 15S + 3S + 20S = 2820
47S = 2820
S = 60 years
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Solve for R::
R = (9/20)S = (9/20)60 = 27 years
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Cheers,
Stan H.
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