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

Answer:

Large box weighs 60 pounds and small box weighs 25 pounds

Step-by-step 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