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At a certain college the ratio of freshmen to sophomores is 2:3, and

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At a certain college the ratio of freshmen to sophomores is 2:3, and [#permalink]

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New post 19 May 2017, 07:47
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At a certain college the ratio of freshmen to sophomores is 2:3, and the ratio of sophomores to juniors is 5:6. If the ratio of juniors to seniors is 3:5, what is the ratio of freshmen to seniors?

A. 1:3
B. 5:9
C. 3:5
D. 4:7
E. 5:6
[Reveal] Spoiler: OA

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Re: At a certain college the ratio of freshmen to sophomores is 2:3, and [#permalink]

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New post 19 May 2017, 07:55
Kritesh wrote:
At a certain college the ratio of freshmen to sophomores is 2:3, and the ratio of sophomores to juniors is 5:6. If the ratio of juniors to seniors is 3:5, what is the ratio of freshmen to seniors?

A. 1:3
B. 5:9
C. 3:5
D. 4:7
E. 5:6


freshmen/sophomores = 2/3 = 10/15

sophomores/juniors = 5/6 = 15/18

juniors/seniors = 3/5 = 18/30


freshmen/seniors = 10/30 = 1/3.


Answer: A.
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Re: At a certain college the ratio of freshmen to sophomores is 2:3, and [#permalink]

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New post 19 May 2017, 09:21
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Kritesh wrote:
At a certain college the ratio of freshmen to sophomores is 2:3, and the ratio of sophomores to juniors is 5:6. If the ratio of juniors to seniors is 3:5, what is the ratio of freshmen to seniors?

A. 1:3
B. 5:9
C. 3:5
D. 4:7
E. 5:6


F : SP = 2 : 3
SP : J = 5 : 6
J : Sn = 3 : 5

Attachment:
Capture.PNG
Capture.PNG [ 2.93 KiB | Viewed 111 times ]


So, The ratio of Freshmen to Seniors is 10 : 30 = 1:3

Thus, answer must be (A) 1 : 3

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Re: At a certain college the ratio of freshmen to sophomores is 2:3, and [#permalink]

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New post 19 May 2017, 11:40
We are given freshmen/sophomores = 2/3 and sophomores/juniors = 5/6.
if we multiply the two, freshmen/sophomores * sophomores/juniors = freshmen/juniors = 2/3 * 5/6 = 5/9

Now we have freshmen/juniors = 5/9 and juniors/seniors = 3/5
We can multiply the two ... freshmen/juniors * juniors/seniors = freshmen/seniors = 5/9 * 3/5 = 1/3.

Hence answer is A.
Re: At a certain college the ratio of freshmen to sophomores is 2:3, and   [#permalink] 19 May 2017, 11:40
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