SOLUTION: A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many of each there are

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Question 1033086: A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many of each there are
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many of each there are
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Let n = # of nickels.
Then the number of quarters is (62-n).

Nickels contribute 5n cents to the total.
Quarters contribute 25*(62-n).

The total is 590 cents, and the "value equation" is

5n + 25*(62-n) = 590.

Simplify and solve for n:

5n + 25*62 - 25n = 590,

5n + 1550 - 25n = 590,

-20n = 590 - 1550,

-20n = 960,

n =  = 48.

Answer. There are 48 nickels and 62-48 = 14 quarters.

Check.  48*5 + 14*25 = 590.


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