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# A contest winner receives 1/4 of his winnings in cash and also receive

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Math Expert
Joined: 02 Sep 2009
Posts: 58446

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19 Feb 2019, 21:52
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:36) correct 41% (02:11) wrong based on 27 sessions

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A contest winner receives 1/4 of his winnings in cash and also receives four prizes, each worth 1/4 of the remaining balance. If the total value of the cash and one of the prizes is \$35,000, what is the total value of his winnings?

A. \$70,000
B. \$75,000
C. \$80,000
D. \$95,000
E. \$140,000

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Joined: 18 Aug 2017
Posts: 5020
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

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20 Feb 2019, 00:06
Bunuel wrote:
A contest winner receives 1/4 of his winnings in cash and also receives four prizes, each worth 1/4 of the remaining balance. If the total value of the cash and one of the prizes is \$35,000, what is the total value of his winnings?

A. \$70,000
B. \$75,000
C. \$80,000
D. \$95,000
E. \$140,000

total value of prize = x
so x/4 cash
and price worth of 1 of prize ; 3x/4 * 1/4 = 3x/16
so
x/4+3x/16= 35000
x = 80,000
IMOC
Re: A contest winner receives 1/4 of his winnings in cash and also receive   [#permalink] 20 Feb 2019, 00:06
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