Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins, 3 masks and 10 candy witches. He

spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a

system of equations to represent this problem and algebraically calculate the unit price of each item purchased.

Identify the variables for the problem:

Write a system of equations to represent the

problem:3x+4y+8z=36.65

5x+3y+10z=37.50

4x+5y+6z=43.45

What does the solution (2.55, 5.75, -75) represent given the problem situation?