11.5k views
4 votes
I will mark plus 25 pts. Help please A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 60 pounds each, and the small boxes weigh 20 pounds each. There are 115 boxes in all. If the truck is carrying a total of 4300 pounds in boxes, how many of each type of box is it carrying?

User TomR
by
8.5k points

1 Answer

0 votes

50(115-y) + 25y = 4125 [from eq2]

5750 - 50y + 25y = 4125 [distribute]

5750 - 25y = 4125

-25y = -1625

y = 65 [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 115 - y

x = 115 - 65

x = 50

There are 50 large boxes.

User Ardita
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories