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(20060)   (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

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