SOLUTION: A student has 22 coins consisting of nickles and dimes. The value of the coins is $1.50. How many dimes does she have?

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Question 1023526: A student has 22 coins consisting of nickles and dimes. The value of the coins is $1.50. How many dimes does she have?
Answer by ikleyn(52814) About Me  (Show Source):
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A student has 22 coins consisting of nickles and dimes. The value of the coins is $1.50. How many dimes does she have?
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Let n = number of nickels.
Then the number of dimes is 22-n.

The "value" equation is

5n + 10*(22-n) = 150.

Simplify and solve for n:

5n + 220 - 10n = 150,
-5n = 150 - 220,
-5n = -70,
n = %28-70%29%2F%28-5%29 = 14.

The number of nickels is 14. The number of dimes is 22-14 = 8.

Check. 5*14 + 10*8 = 70 + 80 = 150.