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# 3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn

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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 677
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn  [#permalink]

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04 Apr 2019, 16:49
2
1
3
00:00

Difficulty:

45% (medium)

Question Stats:

64% (02:50) correct 36% (03:33) wrong based on 36 sessions

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3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn \$3008 in 8 days. In what time will 7 men with 9 boys earn \$2480?

A. 8 days
B. 10 days
C. 15 days
D. 20 days
E. 12 days
Manager
Joined: 21 Feb 2019
Posts: 125
Location: Italy
Re: 3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn  [#permalink]

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04 Apr 2019, 18:14
2
Solution attached. This was tough! Nice question.

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20190405.pdf [163.64 KiB]

Manager
Joined: 09 Nov 2015
Posts: 154
Re: 3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn  [#permalink]

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05 Apr 2019, 01:03
1
In 7 days, 3 men+4 boys (Combo 1) can earn \$756
In 1 day, 3M+4B (C1) can earn \$108 (756/7)

In 8 days, 11M+13B (Combo 2), can earn\$3008
In 1 day, 11M+13B, can earn \$376 (3008/8)

By increasing C1 eleven-fold and C2 three-fold, we see that in 1 day:
33M+44B (C3) can earn \$1188 (108*11) and
33M+39B (C4) can earn \$1128 (376*3)
The presence of 5 more boys in C3 (the number of men being the same in both combos) yields an additional income of \$60 (1188-1128) in 1 day from which we can conclude that 1 boy can earn \$12 in a day.
From the fact that 3M+4B can earn \$108 in 1 day, we can calculate that 1M earns \$20 in 1 day.

Let's say X is the number of days it takes 7M & 9B to earn \$2480.
Then, \$20*7X+ \$12*9=\$2480 -----> 248X=2480 ----> X=10 days. Ans:B
Re: 3 men and 4 boys can earn \$756 in 7 days. 11 men and 13 boys can earn   [#permalink] 05 Apr 2019, 01:03
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