Question

A warehouse stacks 3 identical large boxes and 2 identical small boxes to a height of 11 feet. It also stacks 2 large boxes and 1 small box to a height of 7 feet. What are the heights of a small box and a large box? (SHOW WORK PLEASE GIVING 100 POINTS TO WHOEVER ANSWERS AND SHOWS WORK)

Answer 1

large box = 3 feet, small box = 1 foot

Explanation:

large box = l

small box = s

3l + 2s = 11

2l + 1s = 7

This is simultaneous equations

so you make the one of the boxes equal

I am going to make the small boxes equal each other

4l + 2s = 14

3l + 2s = 11

Take them both away from each other

1l = 3

put that back into the equation

so s = 1