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

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Joined: 07 Feb 2016
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Maryam’s wallet contains a combination of $5 and $10 bills  [#permalink]

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New post 12 Sep 2016, 19:12
2
2
00:00
A
B
C
D
E

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
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Re: Maryam’s wallet contains a combination of $5 and $10 bills  [#permalink]

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New post 12 Sep 2016, 20:36
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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.

Hence Answer is A
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Re: Maryam’s wallet contains a combination of $5 and $10 bills  [#permalink]

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New post 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.
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Re: Maryam’s wallet contains a combination of $5 and $10 bills  [#permalink]

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New post 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
$10 - y

1- number of bills = x+y
value of bill = 5x + 10y

So, (x+y)/(5x+10y) = 1/9. From this x/y can be found.
1 is sufficient.

2. 5x+10y = 360. From this x/y cannot be found.

So, A should be the answer.
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Re: Maryam’s wallet contains a combination of $5 and $10 bills   [#permalink] 22 Aug 2019, 07:04
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Maryam’s wallet contains a combination of $5 and $10 bills

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