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Problem-Solving and Data Analysis Difficulty: Medium

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 ?

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Explanation

The correct answer is 90 . It’s given that the ratio of x to y is equivalent to the ratio 9 to 5 . It follows that xy=95. Multiplying each side of this equation by 5 y yields 5yxy=95y5, or 5x=9y. Dividing each side of this equation by 9 yields 5x9=y. Substituting 162 for x in this equation yields 51629=y, which is equivalent to 8109=y, or 90=y. Therefore, if the value of x is 162 , the value of y is 90 .