Question

Watch help videoA paper company needs to ship paper to a large printing business. The paper will beshipped in small boxes and large boxes. Each small box of paper weighs 40 poundsand each large box of paper weighs 80 pounds. A total of 14 boxes of paper wereshipped weighing 800 pounds altogether. Graphically solve a system of equations inorder to determine the number of small boxes shipped, x, and the number of largeboxes shipped, y.

Answer 1

Answer:

The number of small boxes is 8

The number of large boxes is 6

Step-by-step explanation:

The total weigh is 800 pounds

Because each small box weighs 40 pounds and each big one weighs 80 pounds, let x denote the total number of small boxes and y the total number of large boxes, then:

40x + 80y = 800 .............................................................................(1)

The total number of boxes shipped is 14, the addition of the small and large boxes gives 14

x + y = 14 ............................................................................................(2)

The graph of equation (1) and (2) is shown below: