SOLUTION: John has 36 coins that are nickels and dimes. If the value of the coins is $2.90, how many coins of each type does he have?

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Question 291106: John has 36 coins that are nickels and dimes. If the value of the coins is $2.90, how many coins of each type does he have?
Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # of nickels
Therefore, 36 - x = # of dimes.
5x + 10(36 - x) = 290
5x + 360 - 10x = 290
-5x = -70
highlight%28x+=+14%29 nickels
36-14 = 22 dimes
Check:
0.05 * 14 = 0.70; 0.10 * 22 = $2.20, Total $2.90. OK.