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lulufrenchie
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jaspreetsra
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Let's say that Leo's current weight = x and his brother's current weight = y.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
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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Brent@GMATPrepNow
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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
