A man has a...

Question

A man has a pocket full of nickels and dimes worth $1.85. If he has 22 coins in his pocket how manny dimes does he have?

Answer 1

Let n = the number of nickels

Let d = the number of dimes

n + d = 22                     Solve for n: n = 22 - d

.05n + .10d = 1.85      Multiply the entire equation by 100.

5n + 10d = 185            Replace n with 22 - d

5(22-d) + 10d = 185

110 - 5d + 10d = 185

          5d = 75

             d = 15 dimes