SOLUTION: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30

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Question 226594: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = # nickles,,,,,,and q= # quarters
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n= q+4,,,,,,,,,given
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(.05)n + (.25)q = 2.30,,,,,,,given
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subst,,,,(.05)(q+4) + (.25)q = 2.30
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.05q + .20 +.25q =2.30
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.30q = 2.10
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q=7,,,,,,n=7+4 =11
.
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check,,, .05 *11 + .25*7 = .55+1.75 = 2.30,,,,,,,ok
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