Question

The estimator for a​ heating, ventilation, and air conditioning​ (HVAC) contractor estimated that the new hospital would require​ 5,840 feet of sheet metal ductwork. The order is too large for a single​ fabricator, so it was decided to split the order among four fabricators. Fabricator 1 received an order for​ 2,500 feet; Fabricator 2 obtained an order for​ 1,200 feet; and Fabricator 3 was awarded a contract for​ 1,150 feet. How many feet of ductwork would be required of Fabricator​ 4?

Answer 1

990 feet

Explanation:

Fabricator 4 recieved what's left after the rest were distributed

= 5,840 - 2,500 - 1,200 - 1,150 = 990

Answer 2

990 feet.

Explanation:

To calculate the feet of metal that the last fabricator will sell, you just have to substract from the total feet needed the amount of metal that have been already ordered to the other fabricators.

Total metal duct work= Fabricator 1+ Fabricator 2+ Fabricator 3+ Fabricator 4

If you clear the equation it would be:

F4= Total- F1- F2- F3

F4= 5840- 2,500- 1,200- 1150

F4= 990 ft.