# SOLUTION: Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total value of the coins is \$5.75. Find the number of each type of coin.

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total value of the coins is \$5.75. Find the number of each type of coin.      Log On

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 Question 183629: Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total value of the coins is \$5.75. Find the number of each type of coin.Answer by eperette(173)   (Show Source): You can put this solution on YOUR website!Let n = number of nickels d = number of dimes n + d = 66 0.05n + 0.10d = 5.75 We will solve by using substitution n + d = 66 n + d - d = 66 - d n = 66 - d then 0.05n + 0.10d = 5.75 0.05(66 - d) + 0.10d = 5.75 3.3 - 0.05d + 0.10d = 5.75 3.3 + 0.05d = 5.75 3.3- 3.3 + 0.05d = 5.75 - 3.3 0.05d = 2.45 0.05d/0.05= 2.45/0.05 d = 49 and n = 66 -d = 66 - 49 = 17 answer: there are 49 dimes and 17 nickels