Question

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the smallboxes weigh 35 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4600 pounds in boxes, howmany of each type of box is it carrying?Number of large boxes: 0Number of small boxes:

Answer 1

We are given the following data:

Large boxes weigh 50 pounds each

Small boxes weigh 35 pounds each

There are 110 boxes

The truck is carrying a total of 4600 pounds

Solution

Let the number of large boxes be x, and the number of small boxes be y.

There are 110 boxes means:

`x\text{ + y = 110 eqn (1)}`

The truck is carrying a total of 4600 pounds means:

`50x\text{ + 35y = 4600 eqn (2)}`

We can solve the equations simultaneously to find x and y.

Solving simultaneously by graphical method, we have:

The graph shown above shows the point of intersection to be (50, 60)

Hence,

the number of large boxes is 50

the number of small boxes is 60