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Of all the homes on Gotham Street, 1/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the homes a

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Of all the homes on Gotham Street, 1/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the homes a

by VJesus12 » Fri Jul 24, 2020 6:39 am

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Of all the homes on Gotham Street, 1/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?

A. 2/15
B. 3/15
C. 4/5
D. 2/5
E. 1/5

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
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Re: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the hom

by Brent@GMATPrepNow » Fri Jul 24, 2020 8:34 am
VJesus12 wrote: ↑
Fri Jul 24, 2020 6:39 am
 Of all the homes on Gotham Street, 1/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?

A. 2/15
B. 3/15
C. 4/5
D. 2/5
E. 1/5

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
Given: 1/3 of the homes are termite-ridden
Given: 3/5 of the termite-ridden homes are collapsing.
So, 2/5 of the termite-ridden homes are NOT collapsing.

So, the the fraction of the homes are termite-ridden, but NOT collapsing = (1/3)(2/5)
= 2/15

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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