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If a is \(\frac{3}{2}\) times b, b is \(\frac{3}{4}\) of c and d is \(\frac{1}{4}\) of c, what is the…

The ratio is 9 : 2. Take c = 8: then b = \(\frac{3}{4}\) × 8 = 6, a = \(\frac{3}{2}\) × 6 = 9 and d = \(\frac{1}{4}\) × 8 = 2. So a : d = 9 : 2. Inverting the fraction for b…

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If a is 32\frac{3}{2} times b, b is 34\frac{3}{4} of c and d is 14\frac{1}{4} of c, what is the ratio a : d?

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Correct answer D

The ratio is 9 : 2. Take c = 8: then b = 34\frac{3}{4} × 8 = 6, a = 32\frac{3}{2} × 6 = 9 and d = 14\frac{1}{4} × 8 = 2. So a : d = 9 : 2. Inverting the fraction for b (taking b as 43\frac{4}{3} of c) would give 8 : 1, and neither 9 : 1 nor 8 : 3 fits the given fractions.

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