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# Maryam’s wallet contains a combination of $5 and$10 bills

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Intern
Joined: 07 Feb 2016
Posts: 11
GMAT 1: 710 Q47 V40
Maryam’s wallet contains a combination of $5 and$10 bills  [#permalink]

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12 Sep 2016, 19:12
2
2
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:27) correct 41% (01:44) wrong based on 129 sessions

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Maryam’s wallet contains a combination of $5 and$10 bills. What is the ratio of $5 bills to$10 bills?

(1) The ratio of the number of bills to the total dollar value is 1/9.

(2) The total dollar value of the bills is $360. Senior Manager Joined: 23 Apr 2015 Posts: 285 Location: United States Concentration: General Management, International Business WE: Engineering (Consulting) Re: Maryam’s wallet contains a combination of$5 and $10 bills [#permalink] ### Show Tags 12 Sep 2016, 20:36 1 1 milano10 wrote: Maryam’s wallet contains a combination of$5 and $10 bills. What is the ratio of$5 bills to $10 bills? (1) The ratio of the number of bills to the total dollar value is 1/9. (2) The total dollar value of the bills is$360.

Let $$x$$ be number of 5$bills and $$y$$ be number of 10$ bills, so question is find $$\frac{x}{y}$$.

1) $$\frac{(x+y)}{(5x + 10y)} = \frac{1}{9}$$
and this gives $$\frac{x}{y} = \frac{1}{4}$$

sufficient , Select A or D

2) $$5x + 10y = 360$$
=> $$x + 2y = 72$$
multiple solutions for this equation.
Not Sufficient.

Senior Manager
Joined: 19 Nov 2017
Posts: 253
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
GPA: 4
Re: Maryam’s wallet contains a combination of $5 and$10 bills  [#permalink]

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22 Aug 2019, 06:50
I always prefer to use the unitary method in such questions.

Statement 1
1 bill - 9 dollars
10 bills - 90 dollars

The only combination satisfying the ratio is eight-10 dollar bills and two-5dollar bills

Hence the ratio is 2:8
or 1:4

Statement 1 is sufficient.

Statement 2 is clearly insufficient.

Hence, A.
_________________

Vaibhav

Sky is the limit. 800 is the limit.

~GMAC
Manager
Joined: 20 Jul 2012
Posts: 116
GMAT 1: 650 Q47 V33
Re: Maryam’s wallet contains a combination of $5 and$10 bills  [#permalink]

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22 Aug 2019, 07:04
milano10 wrote:
Maryam’s wallet contains a combination of $5 and$10 bills. What is the ratio of $5 bills to$10 bills?

(1) The ratio of the number of bills to the total dollar value is 1/9.

(2) The total dollar value of the bills is $360.$ 5 - x