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Bunuel
Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining $4. The first brother received how much more money than the third brother received?

(A) $4
(B) $16
(C) $20
(D) $24
(E) $36

from given info
x/2+x/4+x/5+4 = x
solve for x = 80
so first brother received 40 $ and third received $16
40-16 ; 24 $
IMO D
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Bunuel
Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining $4. The first brother received how much more money than the third brother received?

(A) $4
(B) $16
(C) $20
(D) $24
(E) $36

We see that the fourth brother receives 5% of the total money. Since he received $4 and the third brother received 20% or 4 times his percent share, the third brother received 4 times as much money also, or $16. Similarly, the first brother received 50%, or 10 times, the fourth brother’s percent share, the first brother received 10 times as much money, or $40. Therefore, the first brother received 40 - 16 = $24 more than the third brother received.

Answer: D

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