Question

A fruit company delivers its fruit in two types of boxes:large and small. A delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. A delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. How much does each type of boxes weigh?

Answer 1

Answer:

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Step-by-step explanation:

Let

x -----> the weight of large box

y ----> the weight of small box

we know that

The system of equations is equal to

9x+7y=216 -----> equation A

3x+5y=90 -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (18.75,6.75)

therefore

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg