SOLUTION: A jar contains only nickels and dimes and there is 200 coins in the jar. The value is 14 dollars. How many nickels and dimes are in the jar?

Question 1014812: A jar contains only nickels and dimes and there is 200 coins in the jar. The value is 14 dollars. How many nickels and dimes are in the jar?
Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
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A jar contains only nickels and dimes and there is 200 coins in the jar. The value is 14 dollars. How many nickels and dimes are in the jar?
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Let n = # of nickels and d = # of dimes.


Then your equations are 

 n +   d =  200,   (1)
5n + 10d = 1400.   (2)

To solve this system, express n via d from (1): n = 200 - d, and substitute it into (2). You will get

5*(200-d) + 10d = 1400.

Simplify it:

1000 - 5d + 10d = 1400,

5d = 1400 - 1000 = 400,

d =  = 80.

Answer. 80 dimes and 200-80 = 120 nickels.

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