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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 14 Oct 2019, 02:42
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B
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E

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  15% (low)

Question Stats:

84% (01:29) correct 16% (01:47) wrong based on 38 sessions

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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 14 Oct 2019, 02:55
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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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New post 14 Oct 2019, 03:17
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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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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 14 Oct 2019, 03:19
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

The answer is therefore 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 14 Oct 2019, 03:37
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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

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)

Answer 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 14 Oct 2019, 03:57
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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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar  [#permalink]

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New post 14 Oct 2019, 04:41
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}

Answer (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 14 Oct 2019, 05:18
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

The answer is 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 14 Oct 2019, 07:03
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
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Re: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar   [#permalink] 14 Oct 2019, 07:03
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