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# Teela found 14 coins in her car, all nickels and dimes.

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Teela found 14 coins in her car, all nickels and dimes.  [#permalink]

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Updated on: 22 Oct 2019, 23:16
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15% (low)

Question Stats:

84% (01:51) correct 16% (01:30) wrong based on 73 sessions

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EMPOWERgmat PS Series:
Pack 3, Question 2

Teela found 14 coins in her car, all nickels and dimes. If a nickel is worth \$0.05 and a dime is worth \$0.10, and the total value of the coins was \$1.10, then how many of the coins were nickels?

A) 4
B) 5
C) 6
D) 8
E) 9

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Originally posted by EMPOWERgmatRichC on 15 Oct 2019, 22:41.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:16, edited 1 time in total.
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Re: Teela found 14 coins in her car, all nickels and dimes.  [#permalink]

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17 Oct 2019, 01:47
EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Pack 3, Question 2

Teela found 14 coins in her car, all nickels and dimes. If a nickel is worth \$0.05 and a dime is worth \$0.10, and the total value of the coins was \$1.10, then how many of the coins were nickels?

A) 4
B) 5
C) 6
D) 8
E) 9

Let's assume that number of nickles and dimes are n and d respectively.
So, from the information given, we know that n+d=14.
Accordingly, value of n nickles=n*\$0.05, and value of d dimes=d*\$0.10
Since total value of 14 coins is \$1.10, we can imply that n*\$0.05+d*\$0.10=\$1.10

Now, combining n+d=14 and n*\$0.05+d*\$0.10=\$1.10 and solving them simultaneously we get that n=6.

Therefore, the correct answer is option C.
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Re: Teela found 14 coins in her car, all nickels and dimes.  [#permalink]

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29 Nov 2019, 18:50
Quote:
Teela found 14 coins in her car, all nickels and dimes. If a nickel is worth \$0.05 and a dime is worth \$0.10, and the total value of the coins was \$1.10, then how many of the coins were nickels?

A) 4
B) 5
C) 6
D) 8
E) 9

First thing to note, you need to have even number of nickels because you need to have a multiple of 10.

Use options.
4 nickels is .2 but then you have 10 dimes worth a 1\$. Doesn't add up to 1.1
6 nickels is .3 then you have 8 dimes worth .8\$ that adds up to 1.1. So we're good
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Re: Teela found 14 coins in her car, all nickels and dimes.   [#permalink] 29 Nov 2019, 18:50
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# Teela found 14 coins in her car, all nickels and dimes.

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