Question 884919: Please help me solve the word problem below If possible may you please s how me the steps of solving the question? Have a great day and Thank you very much!:
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?
Found 3 solutions by JulietG, stanbon, rfer:
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! D = .15S
R = 3D
Therefore, R = .45S
L = .75S
D + R + L + S = 141
Substitute the known values into the bottom equation.
D + R + L + S = 141
(.15S) + (.45S) + (.75S) + S = 141
Add
2.35S = 141
Divide each side by 2.35
S = 60
.
If Sara is 60, then Daniel is 15% of 60, or 9
Rachel is 3 times as old as Daniel, or 27
Luke is 75% of Sara's age, or 45
Add them together to prove:
60+9+27+45 = 141
Success!
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! 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
----
Solve for R::
R = (9/20)S = (9/20)60 = 27 years
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Cheers,
Stan H.
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Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! Sari=x
Daniel=0.15x
Luke=0.75x
Rachel=3(0.15x)
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x+0.15x+0.75x+3(0.15x)=141
2.35x=141
x=141/2.35
x=60 Sari
0.15x=9 Daniel
0.75x=45 Luke
3(0.15x)=27 Rachel
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