Need Help With This Please

Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 3 small boxes has a total weight of 193 kilograms. A delivery of 2 large boxes and 5 small boxes has a total weight of 112 kilograms. How much does each type of box weigh?

Weight Of Large Box: In Kilograms

Weight Of Small Box: In Kilograms

Answer 1

L = weight of large box

s = weight of small box

8 large boxes and 3 small boxes has a total weight of 193 kilograms

8L + 3s = 193

2 large boxes and 5 small boxes has a total weight of 112 kilograms

2L + 5s = 112

need to eliminate one variable and then solve for the remaining variable

8L + 3s = 193

2L + 5s = 112 ← eliminate L in this equation by multiplying this equation by 4 then subtracting from the first equation

-4(2L + 5s = 112)

-8L -20s = -448 ← subtract this from first equation

8L + 3s = 193

-8L - 20s = -448

--------------------------

-17s = -255

s = 15 kg

Substitute this back into first equation:

8L + 3(15) = 193

8L +45 = 193

8L = 148

L = 18.5 kg

Weight Of Large Box: 18.5 Kilograms

Weight Of Small Box: 15 Kilograms