Answer: 28 Dimes and 45 Nickles
Step-by-step explanation:
See attachment.
Let the number of dimes and nickles be D and N. Use the unit of pennies.
We are told: N = D + 17
The total of 505 cents is the sum of 10D and 5N : 10D + 5N = 505
Use N = (D+17) in the above equation.
10D + 5(D+17) = 505
15D + 85 = 505
15D = 420
D = 28
Since N = D + 17, N = 45
Check:
10D + 5N = 505 ?
10(28) + 5(45) = 505
280 + 225 = 505 It works.
