SOLUTION: A collection of nickels and dimes has a value of $3.70. If there are a total of 52 coins, how many nickels and dimes are there?
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Question 248969: A collection of nickels and dimes has a value of $3.70. If there are a total of 52 coins, how many nickels and dimes are there?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
N+D=52 OR N=52-D
.05N+.10D=3.70 NOW REPLACE N WITH (52-D) & SOLVE FOR D
.05(52-D)+.10D=3.70
2.6-.05D+.10D=3.70
.05D=3.70-2.60
.05D=1.10
D=1.10/.05
D=22 DIMES
52-22=30 NICKLES
PROOF:
.05*30+.10*22=3.70
1.50+2.20=3.70
3.70=3.70
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