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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Tourist purchased a total of 30 travelers checks in $50 and $100 denom
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10 Nov 2021, 03:54
10 Nov 2021, 03:54
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Question Stats:
87% (02:38) correct
12% (02:08) wrong based on 8 sessions
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Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $80?
A. 4
B. 12
C. 15
D. 20
E. 24
A. 4
B. 12
C. 15
D. 20
E. 24
Re: Tourist purchased a total of 30 travelers checks in $50 and $100 denom
[#permalink]
15 Nov 2021, 03:58
15 Nov 2021, 03:58
Expert Reply
X + y = 30
50x + 100y = 1800
=> X +2y = 36
=> Y = 6 x = 24
Let n be the number
So ((24-n) * 50 + 6*100)/(30-n) = 80
=> 120 – 5n + 60 = 240 -8n
=> 3n = 60
=> n = 20
Answer - D
50x + 100y = 1800
=> X +2y = 36
=> Y = 6 x = 24
Let n be the number
So ((24-n) * 50 + 6*100)/(30-n) = 80
=> 120 – 5n + 60 = 240 -8n
=> 3n = 60
=> n = 20
Answer - D
Re: Tourist purchased a total of 30 travelers checks in $50 and $100 denom
[#permalink]
30 Oct 2023, 14:21
30 Oct 2023, 14:21
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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