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AbdurRakib
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14 Jun 2016, 14:09
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
84% (01:42) correct
16%
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based on 4123
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A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?
A) 3
B) 5
C) 7
D) 9
E) 11
A) 3
B) 5
C) 7
D) 9
E) 11
Updated on: 06 Aug 2020, 16:53
Originally posted by BrentGMATPrepNow on 14 Jun 2016, 16:06.
Last edited by BrentGMATPrepNow on 06 Aug 2020, 16:53, edited 1 time in total.
Last edited by BrentGMATPrepNow on 06 Aug 2020, 16:53, edited 1 time in total.
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AbdurRakib
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?
A) 3
B) 5
C) 7
D) 9
E) 11
A) 3
B) 5
C) 7
D) 9
E) 11
Another approach is to use algebra:
Let Q = # of quarters ($0.25)
So, 16 - Q = # of dimes ($0.10)
We're told that: (value of quarters) + (value of dimes) = $2.35
So, we get: 0.25Q + 0.10(16 - Q) = 2.35
Expand: 0.25Q + 1.6 - 0.1Q = 2.35
Simplify: 0.15Q + 1.6 = 2.35
0.15Q = 0.75
Q = 5
Answer:
Here are some videos that cover the concepts required to answer this question:
14 Jun 2016, 16:01
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AbdurRakib
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?
A) 3
B) 5
C) 7
D) 9
E) 11
A) 3
B) 5
C) 7
D) 9
E) 11
One solution is to start TESTING answer choices.
A) 3
If there are 3 quarters (worth $0.25 each), and we have a total of 16 coins, the remaining 13 coins must be dimes (worth $0.10 each)
3 quarters = $0.75 and 13 dimes = $1.30
So the TOTAL value = 0.75 + $1.30 = $2.05
NO GOOD - we want a total of $2.35
B) 5
If there are 5 quarters (worth $0.25 each), and we have a total of 16 coins, the remaining 11 coins must be dimes (worth $0.10 each)
5 quarters = $1.25 and 11 dimes = $1.10
So the TOTAL value = 1.25 + $1.10 = $2.35
BINGO!
Answer:
