SOLUTION: Zach has a total of 62 coins, all of which are either dimes or nickels. The total value of the coins is $5.20. Find the number of each type of coin. x + y = 62 10x + 5y = 520

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Zach has a total of 62 coins, all of which are either dimes or nickels. The total value of the coins is $5.20. Find the number of each type of coin. x + y = 62 10x + 5y = 520      Log On


   



Question 721080: Zach has a total of 62 coins, all of which are either dimes or nickels. The total value of the coins is $5.20. Find the number of each type of coin.
x + y = 62
10x + 5y = 520 Don't know what else to do or if I am even going in the right direction. Little help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 62
10x + 5y = 520
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10x + 10y = 620
10x + 5y = 520
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Subtract and solve for "y":
5y = 100
y = 20 (# of nickels)
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Solve for "x" using x + y = 62
x + 20 = 62
x = 42 (# of dimes)
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Cheers,
Stan H.
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