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
