Question

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?

Answer 1

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

large box weigh 15.5 kg

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