Question

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85 pounds. The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4625 pounds in boxes, how much does each type of box weigh? Note that the ALEKS graphing calculator can be used to make computations easier

Answer 1

Large box weighs 60 pounds and small box weighs 25 pounds

Explanation:

Let x be the weight of large box and y be the weight of small box

The combined weight of a large box and a small box is 85 pounds.

`x+y= 85`

`y= 85-x`

The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4625 pounds in boxes

`50x+65y= 4625`

Solve for x and y using both equations

`y= 85-x`

`50x+65(85-x)= 4625`

`50x+5525-65x= 4625`

`-15x+5525= 4625`

`-15x= 4625-5525`

`-15x=-900`

Divide both sides by -15

x=60

`y= 85-x=85-60=25`

Large box weighs 60 pounds and small box weighs 25 pounds