A delivery truck is transporting boxes of two sizes: large and small.

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 70

 pounds. The truck is transporting 70

 large boxes and 50

 small boxes. If the truck is carrying a total of 4600

 pounds in boxes, how much does each type of box weigh?

Answer 1

a = weight of large box , b = weight of small box

a + b = 70

70a + 50b = 4600

20a + 50*(a + b) = 4600

20a + 50*70 = 4600

20a + 3500 = 4600

20a = 1100

a = 55

b = 70 - 55 = 15

Answer 2

Let the weight of large boxes be x and small boxes be y.

We know that both boxes together weigh 70lb

So, x+y=70...(1)

total number of boxes is 4600, and there are 70large and 50small boxes

So, 70x+50y=4600....(2)

Solving the two equations,

70x+70y=4900

70x+50y=4600

Subtract the two,

20y=300 , y=15 and x=55