Question 585457: You have 100 coins that are only nickles and dimes. All the coins add up to 7.00. How many nickles do you have? How many dimes to you have? Answer by checkley79(3341) (Show Source):
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.05n+.10d=7
n+d=100
n=100-d
.05(100-d)+.10d=7
5-.05d+.10d=7
.05d=7-5
.05d=2
d=2/.05
d=40 number of dimes.
n+40=100
n=100-40
n=60 number of nickles.
PROOF:
.05*60+.10*40=7
3+4=7
7=7