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If Leo gains 10 pounds, he will weigh 50% more than his brother. Curre
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08 Apr 2021, 02:16
08 Apr 2021, 02:16
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 140
B. 160
C. 170
D. 190
E. 200
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: If Leo gains 10 pounds, he will weigh 50% more than his brother. Curre
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08 Apr 2021, 04:04
08 Apr 2021, 04:04
2
let assume leo weight=x
leo's brother: x+10=1.5*y then y=(x+10)/1.5
we know sum of there weight is 340
x+y=40
substitute value of y in equation and get ans...
leo's brother: x+10=1.5*y then y=(x+10)/1.5
we know sum of there weight is 340
x+y=40
substitute value of y in equation and get ans...
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Re: If Leo gains 10 pounds, he will weigh 50% more than his brother. Curre
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08 Apr 2021, 05:17
08 Apr 2021, 05:17
2
Carcass wrote:
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 140
B. 160
C. 170
D. 190
E. 200
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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
