A fruit company has two types of boxes, large and small. A deliver of 3 large boxes and 2 small boxes weighs a total of 73 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. How much does each type of box weigh?

The answer to your question is the small box weighs 13.25 kg and the

large box weigh 15.5 kg

Step-by-step explanation:

Data

small box = s

large box = l

3 large boxes and 2 small boxes = 73 kg

8 large boxes and 4 small boxes = 177 kg

Process

1. - To solve this problem write equations

3l + 2s = 73 Equation l

8l + 4s = 177 Equation ll

2. - Solve the system of equations by elimination (multiply equation l by - 2). And add the equations.

-6l - 4s = - 146

8l + 4s = 177

2l = 31

l = 31/2

l = 15.5 kg

3. - Find s

3 (15.5) + 2s = 73

46.5 + 2s = 73

2s = 73 - 46.5

2s = 26.5

s = 26.5/2

s = 13.25 kg