SOLUTION: Jason has 20 coins in nickels and quarters. He has a total of $3.40 in coins. How many quarters does Jason have?

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Question 1041302: Jason has 20 coins in nickels and quarters. He has a total of $3.40 in coins. How many quarters does Jason have?
Answer by ikleyn(52794) About Me  (Show Source):
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Jason has 20 coins in nickels and quarters. He has a total of $3.40 in coins. How many quarters does Jason have?
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Let x = # of nickels.
Then the number of quarters is (20-x).

The nickels contribute 5x to the total.
The quarters contribute 25(20-x) to the total.

The "value" equation is 

5x + 25(20-x) = 340   (cents).

Simplify and solve:

5x + 500 - 25x = 340  --->  -20x = 340 - 500 = -160  --->  x = %28-160%29%2F%28-20%29 = 8.

Answer. 8 nickels and 12 quarters.