A delivery truck is transporting boxes of two sizes:large and small. The combined weight of a large box and small box is 80pounds. The truck is transporting 55 large boxes and 60 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh? large:

small:

Large; 45 pounds

Small: 35 pounds

Step-by-step explanation:

let x = large and y=small

Set up two equations:

x+y=80

55x+60y=4575

Solve:

x=80-y

Plug this 'x' into your other equation

55 (80-y) + 60y=4575

Distribute:

4400-55y+60y=4575

Simplify:

5y=175

Divide:

y=35 small boxes

Plug this 'y' into first equation

x+35=80

Solve:

x=45