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Wendy has 52 coins consisting of niclels and pennies. If the value of the coins is $1.20 then how many of each coins type does she have

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Let X=Number of pennies
Then (52-x) =Number of nickels.

You can then say that:

(x*1) + (52-x)(5) = 120
x + 260 - 5x = 120
260 - 4x = 120
260 - 4x + 4x = 120 + 4x
260 = 120 + 4x
260 - 120 = 120 + 4x - 120
140 = 4x
35 = x = Number of pennies
52 - 35 = 17 = Number of nickels
Verify: (35 * .01) + (17 * .05) = $1.20
.35 + .85 = $1.20
$1.20 = $1.20

Posted on Nov 16, 2009

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