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16 Sep 2014, 00:58
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John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?
A. 14
B. 16
C. 17
D. 19
E. 20
A. 14
B. 16
C. 17
D. 19
E. 20
16 Sep 2014, 00:58
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Official Solution:
John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?
A. 14
B. 16
C. 17
D. 19
E. 20
No combination of ten-dollar or five-dollar bills will give an amount ending in 8. Therefore, John must use at least 3 one-dollar bills to make up this difference. To accumulate the remaining $125, John should use the fewest bills possible: 12 ten-dollar bills and 1 five-dollar bill.
Thus, the least number of bills John will need to use to pay exactly $128 is 16: 12 ten-dollar bills, 1 five-dollar bill, and 3 one-dollar bills.
Answer: B
John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?
A. 14
B. 16
C. 17
D. 19
E. 20
No combination of ten-dollar or five-dollar bills will give an amount ending in 8. Therefore, John must use at least 3 one-dollar bills to make up this difference. To accumulate the remaining $125, John should use the fewest bills possible: 12 ten-dollar bills and 1 five-dollar bill.
Thus, the least number of bills John will need to use to pay exactly $128 is 16: 12 ten-dollar bills, 1 five-dollar bill, and 3 one-dollar bills.
Answer: B
22 Oct 2023, 01:25
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I've revised the question and solution, incorporating additional details for improved clarity. I trust this makes it more comprehensible.
