SOLUTION: Tim​'s piggy bank contains dimes and nickels worth ​$6.15. He has 77 coins in all. How many of each coin does Tim ​have?
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Question 1005780: Tim's piggy bank contains dimes and nickels worth $6.15. He has 77 coins in all. How many of each coin does Tim have?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the number of dimes and nickels, d and n. Then we have
d + n = 77 and the value equation is
10d + 5n = 615 (we work in cents)
Now multiply the top equation by five and subtract from the second...
10d + 5n = 615
-(5d + 5n = 385)
---------------------
5d = 230
d = 46 dimes
n must be 31 nickels
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