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

Answer:

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