9514 1404 393
Answer:
- 12 nickels
- 9 dimes
- 5 quarters
Step-by-step explanation:
The quantities of dimes and nickels can be expressed in terms of the number of quarters, so it is convenient to use q to represent quarters.
number of dimes: q +4
number of nickels: q +7
Total amount of money (in cents):
5(q +7) +10(q +4) +25q = 275
40q + 75 = 275 . . . . . . . . . . . . . simplify
40q = 200 . . . . . . . . . subtract 75
q = 5 . . . . . . . . . . divide by 40
dimes = q +4 = 9
nickels = q +7 = 12
Henry deposited 12 nickels, 9 dimes, and 5 quarters in his piggy bank.
