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John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar

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John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 04 Aug 2010, 23:13
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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
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 04 Aug 2010, 23:16
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bibha wrote:
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?
14
16
17
19
20


10*12 + 5*1 + 1*3 = 128

Therefore the answer is 16 (B)
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 05 Aug 2010, 01:20
I know....but how do you decide thjat?
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 05 Aug 2010, 01:58
1
It is simple.

To minimize the number of bills you have to pay with the highest value of bill.
Since the amount is 128, you cannot pay with 13 10$ bills, but you can with 12 10$ bills.
Now that you've paid 120$. You have to pay the rest (8$) in 5$ and 1$ bills. Again to minimize the number of bills that you are gonna use, you have to maximize the number of 5$ bills you can use to pay the 8$. In this case it is 1 5$ bill.

Hope this is clear to you now.
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 05 Aug 2010, 07:04
128 is the total sum of money.

as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils

128-120 = 8

so now we need to get 8 from either 5 dollar bills or 1 dollar bills

8 - 5 (use only 1 5 dollar bill) = 3

so we can get 3 from using 3 $1 bills.

Hence 16 ( 12+1+3 )
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar   [#permalink] 13 Oct 2018, 21:32
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John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar

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