Question

A computer manufacturer sells motherboards, CPUs, and cases. They only sell products in packages. Package 1 contains 2 motherboard(s) and 3 case(s). Package 2 contains 1 motherboard(s) and 3 CPU(s). Package 3 contains 3 case(s). In total, the company owns 32 motherboards, 18 CPUs, and 90 cases. What unique combination of package sales will allow the company to get rid of its entire inventory

Answer 1

The company must sell:

• 13 No. 1 packages
• 6 No. 2 packages
• 17 No. 3 packages

Step-by-step explanation:

the company currently has 32 motherboards, 18 CPUs, and 90 cases

Package 1 ⇒ IT MUST SELL 13 OF THESE TO SELL ALL THE MOTHERBOARDS LEFT.

2 motherboards x 13 = 25 motherboards sold

3 cases x 13 = 39 cases sold

Package 2 ⇒ IT MUST SELL 6 OF THESE TO SELL ALL ITS CPUs.

1 motherboard x 6 = 6 motherboards sold

3 CPUs x 6 = 18 CPUs sold

Package 3 ⇒ IT MUST SELL 17 OF THESE TO SELL ALL ITS CASES.

3 cases x 17 = 51 cases sold