SOLUTION: James is 8% taller than John and Wilson is 10% shorter than John. By what % is James taller than Wilson?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: James is 8% taller than John and Wilson is 10% shorter than John. By what % is James taller than Wilson?       Log On


   



Question 782211: James is 8% taller than John and Wilson is 10% shorter than John. By what % is James taller than Wilson?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
James is 8% taller than John and Wilson is 10% shorter than John. By what % is James taller than Wilson?
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Equations:
james = 1.08john
w = 0.9john
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Note: john = w/0.9
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Substitute for john and solve for "james":
james = 1.08[w/0.9] = (1.08/0.9) = 1.2w
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Note: 1.2w = w + 0.20w
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Answer:::
James is 20% taller than Wilson
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Cheers,
Stan H.
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