SOLUTION: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 70 large bo

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Question 1072056: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is
80
pounds. The truck is transporting
70
large boxes and
50
small boxes. If the truck is carrying a total of
5100
pounds in boxes, how much does each type of box weigh?
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solution 1 (two equations) 
The system of equation is

  x +   y =   80,     (1)   (where x = weight of the large box . . . )
70x + 50y = 5100.     (2)


Solve it by the Substitution method.

Solution 2 (one equation) 

70x + 50*(80-x) = 5100.