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At the beginning of the day
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Updated on: 06 Nov 2020, 01:54
Updated on: 06 Nov 2020, 01:54
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Question Stats:
81% (02:26) correct
18% (03:54) wrong based on 16 sessions
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At the beginning of the day, the ratio of $5 bills to $10 bills in Thom’s wallet was 2 to 3. Thom then paid for a purchase with one $5 bill and four $10 bills, and did not receive change. Afterwards, Thom observed that the ratio of $5 bills to $10 bills in the wallet was 3 to 2. How many $5 bills were in Thom’s wallet at the beginning of the day?
A) 4
B) 6
C) 8
D) 10
E) 12
A) 4
B) 6
C) 8
D) 10
E) 12
Originally posted by harishsridharan on 05 Nov 2020, 23:22.
Last edited by Carcass on 06 Nov 2020, 01:54, edited 1 time in total.
Last edited by Carcass on 06 Nov 2020, 01:54, edited 1 time in total.
Updated
Re: At the beginning of the day
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06 Nov 2020, 01:57
06 Nov 2020, 01:57
1
Expert Reply
The 2 : 3 ratio as 2x : 3x, where 2x is the number of $5 bills and 3x is the number of $10 bills. We can then create the equation:
(2x - 1) / (3x - 4) = 3/2
2(2x - 1) = 3(3x - 4)
4x - 2 = 9x - 12
10 = 5x
2 = x
Therefore, there were 2(2) = 4 $5 bills originally.
A
(2x - 1) / (3x - 4) = 3/2
2(2x - 1) = 3(3x - 4)
4x - 2 = 9x - 12
10 = 5x
2 = x
Therefore, there were 2(2) = 4 $5 bills originally.
A
gmatclubot
Re: At the beginning of the day [#permalink]
06 Nov 2020, 01:57
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