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Alik [6]
4 years ago
12

Divide 72 in a ratio of 3:5

Mathematics
1 answer:
Keith_Richards [23]4 years ago
8 0
The ratio is 3:5.
\frac{x}{y}=\frac{3}{5} \ \ \ |\hbox{cross multiply} \\
5x=3y \ \ \ |\div 5 \\
x=\frac{3}{5}y

You have to divide 72, so the sum of x and y is 72.
x+y=72 \ \ \ |-y \\
x=72-y

Set both expressions equal to each other:
x=x \\
\frac{3}{5}y=72-y \ \ \ |\times 5 \\ 
3y=360-5y \ \ \ |+5y \\
8y=360 \ \ \ |\div 8 \\
y=45 \\ \\
x=72-y=72-45=27

72 divided in a ratio of 3:5 is 27:45.
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