Question

delivery truck is transporting boxes of two sizes large and small the large boxes weigh 55 lb each and the small boxes weigh 20 lb each there are 125 boxes in all if the truck is carrying a total of 4425 lb in boxes how many of each type of box is it carrying?

Answer 1

x = number of small boxes

y = number of large boxes

x + y = 125

20x + 55y = 4425

Let's solve the system.

Isolate y in the first equation:

x + y = 125

y = 125 - x

Now plug that information in the second equation:

20x + 55y = 4425

20x + 55.(125 - x) = 4425

20x + 6875 - 55x = 4425

Now solve for x:

20x - 55x = 4425 - 6875

-35x = -2450

Multiply by -1 both sides:

35x = 2450

x = 2450 / 35

x = 70

So there are 70 small boxes in the delivery truck.

Now let's find the ammount of large boxes. Go back the first equation and plug the value of x:

x + y = 125

70 + y = 125

y = 125 - 70

y = 55

So there are 55 large boxes in the truck.

Answer: there are 70 small boxes and 55 large boxes in the delivery truck.