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Rick deposited $850 to his bank account using $5 and $15 dollar bills

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Bunuel
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Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   27 Jun 2016, 03:39
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77% (01:48) correct 23% (02:21) wrong based on 84 sessions
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Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?

A. 5.
B. 25.
C. 50.
D. 55.
E. 65.
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D
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CounterSniper
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   Updated on: 27 Jun 2016, 23:59
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5x+15y=850 --1
x+y=60 ---2

multiply eq 2 with 5 and subtract from eq 1

5x+15y=850
5x+5y=300

10y= 550
y=55 and x = 5

therefore $15 bills = 15

Originally posted by CounterSniper on 27 Jun 2016, 04:02.
Last edited by CounterSniper on 27 Jun 2016, 23:59, edited 1 time in total.
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rikingajjar
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   27 Jun 2016, 23:06
I solved with multiplying from answers.

Started with option C. $15 x 50 bills = $750 (100 remaining) ($5 x 20 not possible because total bills used are 60, so we can say $15 bills must be greater and then we can count with option D)

$15 x 55 bills = $825 (25 remaining) ($5 x 5 bills = $25) So total $850.

So clearly answer is D.
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HMC
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   28 Jun 2016, 00:58
850 = 5x + 15 y

x + y = 60

Solving Y = 55 Hence D
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   03 Aug 2016, 19:10
Bunuel, Can you please check the OA.
How can it be A, please explain?

if 5 bills of $15 = 5*15 = 75
left amount = 850-75 = $775
to pay this we would need over hundered $5 bills but as per question we have only 60 bills
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Bunuel
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   03 Aug 2016, 22:20
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nipunjain14 wrote:
Bunuel, Can you please check the OA.
How can it be A, please explain?

if 5 bills of $15 = 5*15 = 75
left amount = 850-75 = $775
to pay this we would need over hundered $5 bills but as per question we have only 60 bills


Edited the OA. Thank you.
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink] New post   28 Apr 2020, 07:23
Bunuel wrote:
Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?

A. 5.
B. 25.
C. 50.
D. 55.
E. 65.


Given: Rick deposited $850 to his bank account using $5 and $15 dollar bills only.

Asked: If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?

Let the number of $15 bills Rick deposits be x.
The number of $5 bills Rick deposits = 60 - x

5(60-x) + 15x = 850
300 - 5x + 15x = 850
10x = 550
x = 55

IMO D
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Re: Rick deposited $850 to his bank account using $5 and $15 dollar bills [#permalink]
28 Apr 2020, 07:23
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