SOLUTION: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each and the small boxes weigh 35 pounds. There are 110 boxes in all. If the t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each and the small boxes weigh 35 pounds. There are 110 boxes in all. If the t      Log On


   

Question 1070046: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each and the small boxes weigh 35 pounds. There are 110 boxes in all. If the truck is carrying a total of 4600 pounds in boxes how many of each type of box is it carrying?
Number of large boxes:
Number of Small boxes:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.L%2BS=110
.
.
.
50L%2B35S=4600
2.10L%2B7S=920
Multiply eq. 1 by 10 and subtract it from eq. 2,
10L%2B7S-10L-10S=920-1110
-3S=-180
Now solve for S, then use either equation to solve for L.