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# how many dimes?

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Intern
Joined: 08 Jul 2009
Posts: 2

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08 Jul 2009, 01:40
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A box of coins contains a total of \$26.00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are in the box?
a. 26
b. 30
c. 34
d. 40
e. 50

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Senior Manager
Joined: 23 Jun 2009
Posts: 355
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago

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08 Jul 2009, 01:51
Nickel = x
Dime = Nickel = x
Quarter = twice nickel = 2x
2x.0,25 + x.0,1 + x.0,05 = 26
0,65x = 26
x = 40
Intern
Joined: 30 May 2009
Posts: 8

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08 Jul 2009, 02:29
The value of the coins are multiples of \$0.05 hence if we take the dimes as x then
13x = 520 , or x =40

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Re: how many dimes?   [#permalink] 08 Jul 2009, 02:29
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