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  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

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The ratio of p to q to r is 2:7:11, and r is greater than the sum of p

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The ratio of p to q to r is 2:7:11, and r is greater than the sum of p  [#permalink]

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Hi, need help with a proportions problem. Any help would be greatly appreciated!

The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of p and q. What is the value of p+r?

I would assume I can get r = 6 + p + q, but don't know what to do after.
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The ratio of p to q to r is 2:7:11, and r is greater than the sum of p  [#permalink]

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New post 13 Aug 2018, 16:31
neiln413b wrote:
Hi, need help with a proportions problem. Any help would be greatly appreciated!

The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of p and q. What is the value of p+r?

I would assume I can get r = 6 + p + q, but don't know what to do after.

neiln413b , welcome to GMAT Club!

Do you have answer options? If so, please post them (or reply here and I will).
PS questions should have options and specified sources.

Please see Rules for Posting, here.

For your question, use a multiplier, \(x\), see footnote.*
Ratio of
p | q | r
2x|7x|11x

\(r=(p+q)+6\)

\(11x=(2x+7x)+6\)
\(2x=6\)
\(x=3\)

That \(x\) is the multiplier.

\(p=2x=(2*3)=6\)
\(r=11x=(11*3)=33\)

\((p+r)= (6+33)=39\)

Hope that helps.

*All ratios have parts.
If we have things in the ratio
\(3 : 4 : 5\)
in most cases we really mean that the things are in the ratio
\(3x : 4x: 5x\)

Say the ratio parts were lengths of sides in a special right triangle:
\(3x-4x-5x\)

Let \(x=2\)
\(3x = 6\) and so on
Hence ACTUAL lengths are
\(6:8:10\)
We just used the ratio parts times a multiplier to get ACTUAL lengths, and those lengths are in the same ratio as the original.
GMAT Club Bot
The ratio of p to q to r is 2:7:11, and r is greater than the sum of p &nbs [#permalink] 13 Aug 2018, 16:31
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The ratio of p to q to r is 2:7:11, and r is greater than the sum of p

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