SOLUTION: You find a total 11 coins totaling $1.95 in the bottom of your Mom's purse. There are only quarters and nickels. How many of each do you have? I know the answer is 7 quarters a

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Question 926641: You find a total 11 coins totaling $1.95 in the bottom of your Mom's purse. There are only quarters and nickels. How many of each do you have? I know the answer is 7 quarters and 4 nickels but can't come up with how to do it.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You find a total 11 coins totaling $1.95 in the bottom of your Mom's purse. There are only quarters and nickels. How many of each do you have?
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The hard way:
Q + N = 11
25Q + 5N = 195
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Or,
If it were 11 nickels it would be 55 cents.
Each Q that replaces a nickel adds 20 cents.
--
195 - 55 = 140
140/20 = 7 quarters.
---> 4 nickels