Question

How do we determine how much each type of box weighs?

Answer 1

Let the weight of the large box be x

Let the weight of the small box be y

Since the combined weight of the boxes is 90 it follows:

`x+y=90----1`

The number of small boxes are 65 and the number of large boxes are 70 and the combined total pounds is 6025

This gives

`65x+70y=6025------2`

Solve the equation

Frrom equation 1

`y=90-x------3`

Substitute y=90-x into equation 2

This gives

`65x+70\left(90-x\right)=6025`

Solve the equation

`\begin{gathered} 65x+6300-70x=6025 \\ -10x=6025-6300 \\ -5x=-275 \\ x=(-275)/(-5) \\ x=55 \end{gathered}`

Substitute x=55 into equation 3

`y=90-55`

Calculate the value

`y=35`

Therefore the weight of the large box is 55

The weight of the small box is 35