A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh
45 pounds each, and the small boxes weigh
25 pounds each. There are 115 boxes in all. If the truck is carrying a total of 3975 pounds in boxes, how many of each type of box is it carrying?

Question

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 
45 pounds each, and the small boxes weigh 
25 pounds each. There are 115 boxes in all. If the truck is carrying a total of 3975 pounds in boxes, how many of each type of box is it carrying?

alfordabby · Answer

x + y = 115 ?
45x + 25y = 2975 ?

alfordabby · Answer

is my equation right?

alfordabby · Answer

45x + 25(115 - x) = 3975
45x + 2875 - 25x = 3975
20x + 2875 = 3975
20x = 1100
x = 55

alfordabby · Answer

x + y = 115
55 + y = 115
y = 60