SOLUTION: A pile of 40 coins consists of nickels and dimes. The total value of coins is $3.35. Find the number of nickels and the number of dimes. (Let x= the number of nickels and y= the nu

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Question 320222: A pile of 40 coins consists of nickels and dimes. The total value of coins is $3.35. Find the number of nickels and the number of dimes. (Let x= the number of nickels and y= the number of dimes)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=40 OR X=40-Y
.05X+.10Y=3.35
.05(40-Y)+.10Y=3.35
2-.05Y+10Y=3.35
.05Y=3.35-2
.05Y=1.35
Y=1.35/.05
Y=27 DIMES.
X=40-27
X=13 NICKELS.
PROOF:
.05*13+.10*27=3.35
.65+2.70=3.35
3.35=3.35