# SOLUTION: A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is \$7.25. There are 5 times as many nickels as dimes. Find the

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 Question 158114: A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is \$7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine.Answer by Edwin McCravy(9717)   (Show Source): You can put this solution on YOUR website!A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is \$7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine. ``` >>...There are 75 coins in the machine...<< >>...the value of the coins is \$7.25...<< We remove the decimals by multiplying through by 100: We can also simplify it further by dividing through by >>...There are 5 times as many nickels as dimes...<< So we have this system of equations: Can you solve that system? If not post again asking how. Solution: 50 nickels, 10 dimes, 15 quarters Edwin```