If Leo gains 10 pounds, he will weigh 50% more than his

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

If Leo gains 10 pounds, he will weigh 50% more than his

by BTGmoderatorDC » Fri Aug 16, 2019 3:02 am

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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

OA E

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Fri Aug 16, 2019 3:02 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Fri Aug 16, 2019 4:32 am

BTGmoderatorDC 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

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Aug 23, 2019 10:42 am

BTGmoderatorDC 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

OA E

Source: Veritas Prep

We can let Leo's current weight = L and and his brother's current weight = B.

We can create the equations:

L + 10 = 1.5B

L = 1.5B - 10

and

L + B = 340

Substituting, we have:

1.5B - 10 + B = 340

2.5B = 350

B = 140

So L = 1.5(140) - 10 = 200.

Answer: E

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