Question

Can someone help me understand the following because I’m confused?

Answer 1

Given:

a.) Each small box of paper weighs 50 pounds.

b.) Each large box of paper weighs 80 pounds.

c.) There were 4 more large boxes shipped than small boxes.

d.) The total weight was 1750 pounds.

Since the scenario is involving two types of boxes, we will be using two variables to represent each of them.

Let,

x = the total number of the small box of paper

y = the total number of the large box of paper

Let's now generate the system of equations that we will be using to able to solve the problem.

1st relationship: There were 4 more large boxes shipped than small boxes.

Putting this into equation, we get:

`\text{ y = x + 4}`

2nd relationship: The total weight was 1750 pounds.

For us to get the total weight, we will be adding the sum of the number of each box by the weight each box has.

We get,

`\text{ 50x + 80y = 1750}`

In summary:

Let x = the total number of the small box of paper

Let y = the total number of the large box of paper

System of equations:

a.) y = x + 4

b.) 50x + 80y = 1750