The ratio x to y is equivalent to the ratio 9 to 5 . If the value of x is

Question

The ratio x to y is equivalent to the ratio 9 to 5 . If the value of x is 162 , what is the value of y ?

Accepted Answer

The correct answer is 90 . It&rsquo;s given that the ratio of x to y is equivalent to the ratio 9 to 5 . It follows that x y = 9 5 . Multiplying each side of this equation by 5 y yields 5 y x y = 9 5 y 5 , or 5 x = 9 y . Dividing each side of this equation by 9 yields 5 x 9 = y . Substituting 162 for x in this equation yields 5 162 9 = y , which is equivalent to 810 9 = y , or 90 = y . Therefore, if the value of x is 162 , the value of y is 90 .

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