SOLUTION: A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?

Question 550759: A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?
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Let n = the number of nickels
Then 100 - n = the number of dimes
We can write the following expression for the total value:
5n + 10(100-n) = 700
solve for n:
5n + 1000 - 10n = 700
5n = 300
n = 60
So the number of nickels is 60, the number of dimes is 40
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