SOLUTION: a coin collector has $45 in quarters and dimes. How many coins of each does he have is the total number of his coins is 240? Thank you very much!

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Question 48604: a coin collector has $45 in quarters and dimes. How many coins of each does he have is the total number of his coins is 240?
Thank you very much!

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=Number of dimes
Then 240-x=Number of quarters
Note: Whatever monetary units we deal in (pennies, nickels, dollars, etc.), we have to be consistent. I choose to deal in pennies.
Now we know that the amount of money in dimes (x)(10) plus the amount of money in quarters (240-x)(25)equals the total amount of money (4500). Thus, our equation to solve is:
10x+(240-x)(25)=4500 simplifying, we get:
10x+6000-25x=4500 or
-15x=-6000+4500=-1500
x=100 dimes
240-x=240-100=140 quarters
Hope this helps ----ptaylor