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  • 23-01-2015
  • Mathematics
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The ratio of the skirt to the cost of a blouse is 8:5. If the skirt costs $24 more than the blouse, find the cost of the blouse.

Verified Answer :

naǫ
naǫ naǫ
  • 24-01-2015

x - the cost of the skirt
y - the cost of the blouse

The ratio of the cost of the skirt to the cost of the blouse is 8:5.
\(\frac{x}{y}=\frac{8}{5} \\ 5x=8y \\ x=\frac{8}{5}y\)

The skirt costs $24 more than the blouse.
@@MATH_TOKEN_1@@

Set (8/5)y and y+24 equal to each other:
@@MATH_TOKEN_2@@

The cost of the blouse is $
40.

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