Question

carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.17. How many dimes does carter have?

Answer 1

n = nickels, d = dimes
Make a system of equations
( n + d = 37 ) 0.05
0.05n + 0.10d = 3.17
0.05n + 0.05d = 1.85
Subtract (elimination method)
0.05d = 1.32, d = 26.4

He has 26 dimes