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

1. Weight of each large box ____ kilograms

2. Weight of each small box ____ kilograms

Respuesta :

Answer:

Answer:

x = the wight of the large box

y = the weight of the small box

A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.

3x + 2y = 73

A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.

8x + 4y = 177

by solving the system of equations

3x + 2y = 73

8x + 4y = 177

we find

x = 15.5 kg

y = 13.25 kg

the large box weights 15.5 kg.

the small box weights 13.25 kg.