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 65 pounds. The truck is transporting 70 large boxes and

Algebra ->  Equations -> 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 65 pounds. The truck is transporting 70 large boxes and       Log On


   



Question 413981: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 65 pounds. The truck is transporting 70 large boxes and 55 small boxes. If the truck is carrying a total of 4250 pounds in boxes, how much does each type of box weigh?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = weight of large box in pounds
Let b = weight of small box in pounds
given:
(1) 70a+%2B+55b+=+4250
(2) a+%2B+b+=+65
--------------------------
Multiply both sides of (2) by 55 and
subtract from (1)
(1) 70a+%2B+55b+=+4250
(2) -55a+-+55b+=+-3575
15a+=+675
a+=+45
and
(2) 45+%2B+b+=+65
b+=+20
A large box weighs 45 pounds
A small box weighs 20 pounds
check answer:
(1) 70a+%2B+55b+=+4250
(1) 70%2A45+%2B+55%2A20+=+4250
3150+%2B+1100+=+4250
4250+=+4250
OK