Question

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

Answer 1

SOLUTION

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

$\begin{gathered} 65x+6300-70x=6025 \\ -10x=6025-6300 \\ -5x=-275 \\ x=\frac{-275}{-5} \\ x=55 \end{gathered}$

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