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a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3

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a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3 [#permalink] New post 30 Jul 2020, 11:59
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\(a:b=3:1\), \(a:d=15:2\), \(c:e=7:9\), and \(c:d=10:3\)

If \(e = 60\), what is the value of b?

A. 20

B. 35

C. 70

D. 180

E. The value cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3 [#permalink] New post 30 Jul 2020, 12:01
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Re: a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3 [#permalink] New post 30 Jul 2020, 14:38
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Carcass wrote:
\(a:b=3:1\), \(a:d=15:2\), \(c:e=7:9\), and \(c:d=10:3\)

If \(e = 60\), what is the value of b?

A. 20

B. 35

C. 70

D. 180

E. The value cannot be determined from the information given.


Remember that x:y = x/y. So we've been given a bunch of proportions we have to work through to solve for b.

With e we can use cross-multiplication to solve for c, which we can in turn use to solve for d, which we can in turn use to solve for a, which we can finally use to solve for b. b = 35 so the answer is B.
Re: a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3   [#permalink] 30 Jul 2020, 14:38
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a:b=3:1, a:d=15:2, c:e=7:9, and c:d=10:3

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