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A delivery truck is transporting boxes of two sizes large and small the large boxes weigh 40 pounds each small boxes weigh 25 pounds each there are 105 boxes in all if the truck is carrying a total of 3450 pounds in boxes how many of each type of box is it carrying

Respuesta :

Answer: the truck is carrying 50 small boxes and 55 large boxes.

Step-by-step explanation:

Let x represent the number of small boxes that the truck is carrying.

Let y represent the number of large boxes that the truck is carrying.

The total number of boxes that the box is carrying is 105. It means that

x + y = 105

The large boxes weigh 40 pounds each small boxes weigh 25 pounds each. if the truck is carrying a total of 3450 pounds in boxes, it means that

25x + 40y = 3450- - - - - - - - - - - -1

Substituting x = 105 - y into equation 1, it becomes

25(105 - y) + 40y = 3450

2625 - 25y + 40y = 3450

- 25y + 40y = 3450 - 2625

15y = 825

y = 825/15

y = 55

x = 105 - y = 105 - 55

x = 50

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