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If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..

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If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..  [#permalink]

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New post 17 Mar 2015, 11:25
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A
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C
D
E

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Question Stats:

90% (00:36) correct 10% (00:37) wrong based on 166 sessions

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If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?

A. 4/15
B. 1/3
C. 2/5
D. 4/5
E. 7/6

So the answer is 4 to 15. Two fractions are being multiplied. I don't understand why. There is text under the explanation saying "when you are given two ratios, their product or quotient will always produce a third ratio". This "rule" doesn't specify what kind of third ratio. We are looking for specific ratio here of a to c. Can somebody explain this please?
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Re: If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..  [#permalink]

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New post 17 Mar 2015, 15:08
If A:B is 4:3, and B:C is 1:5, the ratio of B:C can be rewritten as 3:15. Thus we can combine the two ratios to see that 4:3:15, so that A:C is 4:15.
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Re: If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..  [#permalink]

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New post 18 Mar 2015, 18:39
Hi MariaVorop,

If you're not comfortable with "combining" ratios, then you can still get to the correct answer by TESTing VALUES.

We're given two ratios to work with.....A:B is 4:3 and B:C is 1:5

IF....
A = 4, then....
B = 3

Since
B = 3
C = 15

The ratio of A:C is 4:15

Final Answer:

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If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..  [#permalink]

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New post 23 Dec 2018, 20:52
Can someone please explain why the answer for this question is A and not C?
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Re: If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..  [#permalink]

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New post 24 Dec 2018, 09:54
Hi sudha3510,

Are you comfortable with either of the explanations that appear above your post? And since you're asking about Answer C, what work did you do to get to that answer?

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Re: If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5.. &nbs [#permalink] 24 Dec 2018, 09:54
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If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5..

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