Discussion
If \(x : 7.5 = 8 : y = 7 : 17.5\) find \(x : y\)
Answer: C
The ratio 7 : 17.5 equals 2 : 5. From x : 7.5 = 2 : 5 we get \[x=\tfrac{2\times 7.5}{5}=3,\] and from 8 : y = 2 : 5 we get \[y=\tfrac{8\times 5}{2}=20.\]
So x : y = 3 : 20, option C. The options 3 : 22 and 3 : 23 come from a wrong y, and 1 : 7 does not follow from either ratio.
A quick check: x = 3 gives 3 : 7.5 = 2 : 5 and y = 20 gives 8 : 20 = 2 : 5, so all three ratios are equal to 2 : 5, as the question requires.
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