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Bob is 30 pounds heavier than Sara. If Bob and Sara each gain 30 pound
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17 Apr 2024, 00:19
17 Apr 2024, 00:19
Expert Reply
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Question Stats:
66% (02:08) correct
33% (01:56) wrong based on 3 sessions
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Bob is 30 pounds heavier than Sara. If Bob and Sara each gain 30 pounds, Bob's weight will be 25% greater than Sara's weight. How much does Bob weigh right now?
A. 90
B. 120
C. 150
D. 180
E. 210
A. 90
B. 120
C. 150
D. 180
E. 210
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Re: Bob is 30 pounds heavier than Sara. If Bob and Sara each gain 30 pound
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09 May 2024, 09:59
09 May 2024, 09:59
Let B = Bob's weight and S = Sara's weight.
Since Bob is 30 pounds heavier than Sara, B = 30 + S.
Bob's weight after gaining 30 pounds is B + 30.
Sara's weight after gaining 30 pounds is S + 30.
B + 30 = 1.25(S + 30) = 1.25S + 37.5
Substitute B = 30 + S:
(30 + S) + 30 = 1.25S + 37.5
0.25S = 22.5
S = 90
B = 120
Since Bob is 30 pounds heavier than Sara, B = 30 + S.
Bob's weight after gaining 30 pounds is B + 30.
Sara's weight after gaining 30 pounds is S + 30.
B + 30 = 1.25(S + 30) = 1.25S + 37.5
Substitute B = 30 + S:
(30 + S) + 30 = 1.25S + 37.5
0.25S = 22.5
S = 90
B = 120
gmatclubot
Re: Bob is 30 pounds heavier than Sara. If Bob and Sara each gain 30 pound [#permalink]
09 May 2024, 09:59
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