Problema Solution

Joe has a collection of nickles and dimes thats worth $5.65. If the number of dimes were doubled and the number of nickles were increased by 8 the value of the coins would be $10.45. How many dimes does he has?

Answer provided by our tutors

5n + 10d = 565

5(n+8) + 10(2d) = 1045

5n+40 + 20d = 1045

5n + 20d = 1005

10d = 440

d = 44

5n + 440 = 565

5n = 125

n = 25

Joe has 25 nickels, 0 nickles (there is no such thing), and 44 dimes.