A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 30 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4800 pounds in boxes, how many of each type of box is it carrying?
x= the number of 55 lb boxes
130-x=the number of 35 lb boxes.
Hoped this helped!
Let N be the number of 55 lb boxes
Then 110 - N = the number of 30 lb boxes
So we have that
55N + 30 (110 - N) = 4800 simplify
55N + 3300 - 30N = 4800
25N + 3300 = 4800 subtract 3300 from both sides
25N = 1500 divide both sides by 25
N = 60 = number of 55 lb boxes
110 - N = 110 - 60 = 50 = number of 30 lb boxes