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

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Math Expert
Joined: 02 Sep 2009
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John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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14 Oct 2019, 01:42
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83% (01:27) correct 17% (01:47) wrong based on 42 sessions

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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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14 Oct 2019, 01:55
1
least bills
12*10+1*5+3*1 ; 128\$
i.e 12+1+3 ; 16 bills
IMO 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
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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14 Oct 2019, 02:17
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12 ten-dollar bills, 1 five-dollar bills, and 3 one-dollar bills equals \$128,......Total no.of bills is 16

OA:B

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Posts: 706
Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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14 Oct 2019, 02:19
For the least possible number of notes, John has to use 12 out of his 13 \$10 bills, 1no. \$5 bill, and 3no. \$1 bill.
Hence total = 12+1+3 = 16 i.e. 12*10 + 1*5 + 3*1 = 120+5+3 = \$128

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

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14 Oct 2019, 02:37
1
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

To reach near to the amount of \$128, ten-dollar bills must be maximum in number such that it satisfies the condition. So,
10 * 13 + 5 * .. does not satisfy as it is more than 128
10 * 12 + 5 * 1 + 1 * 3 = 128 Total 16 bills
10 * 11 + 5 * 3 + 1 * 3 = 128 Total 17 bills [Since 10 = 5 * 2, total number of bills is gong to increase here on-wards because for every decrease in number of ten dollar bills there's an increase of two five dollar bills]
10 * 10 + 5 * 5 + 1 * 3 = 128 Total 18 bills (similar trend as above)

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

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14 Oct 2019, 02:57
Quote:
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

(12*10\$)+(1*5\$)+(3*1\$)=128\$
Thus, least number of bills= 12+1+1=16

Therefore, the correct answer is option B.
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Location: United States
Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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14 Oct 2019, 03:41
Quote:
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

\$128=120+5+3=12•10\$+1•5\$+3•1\$={12+1+3}={16}

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

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14 Oct 2019, 04:18
1
John has:
—> 13 ten-dollar bills
—> 11 five-dollar bills
—> 17 one-dollar bills

Exactly \$128= 12*(ten-dollar)+ 1*(five-dollar)+ 3*(one-dollar)

The least number of bills is 12+1+3=16

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Director
Joined: 22 Feb 2018
Posts: 520
Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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14 Oct 2019, 06:03
1
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?

Available bills, \$ 10 bills = 13, \$ 5 bills = 11 and \$ 1 bills = 17

Need to pay exactly \$ 128 = 12 * \$ 10 + 1 * \$ 5 + 3 * \$ 1= \$128

Hence, total least number of bills he will need to use = 12 + 1+ 3 = 16

A. 14
B. 16
C. 17
D. 19
E. 20

Imo. B
Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar   [#permalink] 14 Oct 2019, 06:03
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