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Weight gain

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by lulufrenchie » Thu Sep 25, 2014 6:47 am
Got E.
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by Jacob003 » Thu Sep 25, 2014 7:46 am
Awesome questions to study about this test, Thank for sharing these.
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by jaspreetsra » Sun Oct 26, 2014 6:30 am
Answer E
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by Matt@VeritasPrep » Mon Oct 27, 2014 10:38 am
DanaJ wrote:Source: Veritas Prep

If Leo gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Leo's current weight?

A) 140
B) 160
C) 170
D) 190
E) 200
Let's say that Leo's current weight = x and his brother's current weight = y.

The first statement gives us x + 10 = 1.5y

The second statement gives us x + y = 340

We want to solve for x, so let's isolate y. The first equation tells us 1.5y = x + 10. The second equation tells us y = 340 - x. Multiplying the second one by 1.5, we have 1.5y = 510 - 1.5x.

Now we know that 1.5y = x + 10 and 1.5y = 510 - 1.5x, so we have

x + 10 = 510 - 1.5x

or

2.5x = 500

or x = 200
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by nikhilgmat31 » Fri Jun 26, 2015 12:06 am
L + B = 340

L=340-B
L+10 = 1.5 B
340-B = 1.5 B
340=2.5B
B=140

so L = 200

E
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Re: Weight gain

by Brent@GMATPrepNow » Sun Jan 19, 2020 12:21 pm
DanaJ wrote: ↑
Thu Nov 18, 2010 1:01 pm
 Source: Veritas Prep

If Leo gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Leo's current weight?

A) 140
B) 160
C) 170
D) 190
E) 200
Let L = Leo's CURRENT weight
Let B = his brother's CURRENT weight

Currently, their combined weight is 340 pounds
We can write: L + B = 340

If Leo gains 10 pounds, he will weigh 50% more than his brother
In other words (10 pounds more than L) = (50% more than B)
Rewrite as: L + 10 = 1.5B

What is Leo's current weight?
We have:
L + B = 340
L + 10 = 1.5B

Take top equation and solve for B to get: B = 340 - L
Now take L + 10 = 1.5B and replace B with 340-L to get: L + 10 = 1.5(340 - L)
Expand right side to get: L + 10 = 510 - 1.5L
Add 1.5L to both sides: 2.5L + 10 = 510
Subtract 10 from both sides: 2.5L = 500
Solve: L = 500/2.5 = 200

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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