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What is k if 3.5+0.125/2.5
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01 Feb 2022, 11:50
01 Feb 2022, 11:50
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Question Stats:
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What is k if \(\frac{3.5+0.125}{2.5}=\frac{70+2.5}{k}\) ?
(A) 37.5
(B) 45
(C) 50
(D) 60
(E) 75
(A) 37.5
(B) 45
(C) 50
(D) 60
(E) 75
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Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
Posts: 76
Given Kudos: 6
What is k if 3.5+0.125/2.5
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02 Feb 2022, 05:07
02 Feb 2022, 05:07
1
Some of these terms beg to be put into fractions, so start with mixed numbers:
(3 5/8) = 29/8
2.5 = 5/2
70+2.5 = 72.5 = 145/2
Therefore, we can rewrite the left side as as (29/8)/(5/2) = 58/40 = 29/20
And we can rewrite the right side as (145/2)/k = 145/2k
This leaves us with 29/20 = 145/2k. Now cross-multiply: 29*2k = (145(20))
29*2k = 2900 divide by 29 (we have to get rid of that ugly prime!)
2k = 100
k = 50
Answer C
(3 5/8) = 29/8
2.5 = 5/2
70+2.5 = 72.5 = 145/2
Therefore, we can rewrite the left side as as (29/8)/(5/2) = 58/40 = 29/20
And we can rewrite the right side as (145/2)/k = 145/2k
This leaves us with 29/20 = 145/2k. Now cross-multiply: 29*2k = (145(20))
29*2k = 2900 divide by 29 (we have to get rid of that ugly prime!)
2k = 100
k = 50
Answer C
General Discussion
Re: What is k if 3.5+0.125/2.5
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01 Feb 2022, 19:45
01 Feb 2022, 19:45
1
\(\frac{3.5+0.125}{2.5}=\frac{70+2.5}{k}\)
\(\frac{3.625}{2.5} = \frac{72.5}{k}\)
\(k = \frac{72.5 * 2.5}{3.625}\)
\(k = 50\)
Answer \(C\)
\(\frac{3.625}{2.5} = \frac{72.5}{k}\)
\(k = \frac{72.5 * 2.5}{3.625}\)
\(k = 50\)
Answer \(C\)
