A dollar and sixty-two cents is made up from pennies, dimes, and nickels; half of the coins are nickels.
Find the number of ways that the division can be done, giving the number of pennies, dimes, and nickels for each solution.Solution to Problem: From p + 5n + 10d = 162 and n = (p+n+d)/2
we get p = (54 - 5d) / 2.
Substituting in values, we get six solutions:
Dimes Pennies Nickels ----- ------- ------- 0 27 27 2 22 24 4 17 21 6 12 18 8 7 15 10 2 12
Correctly solved by:
| 1. Christi Cunsolo | Minneapolis, MN |
| 2. Chad McDaniel | Winchester, VA |
| 3. Rachel Rasmussen | Winchester, VA |
| 4. Anna Hauger | Winchester, VA |
| 5. Andrew Crosby | Winchester, VA |
| 6. Ryan Dutton | Winchester, VA |
| 7. Barrett Waybright | Winchester, VA |
| 8. John Beavers | Winchester, VA |