# Office Supplies: Purchase of Large and Small Binders

## How many large and small binders are purchased by Hancock County Social Services?

Given that the total cost of the binders is $544.20, the large binders cost $8.49 each, and the small binders cost $5.99 each, can you determine the quantity of each size purchased?

## Answer:

The number of large binders purchased is 26 and the number of small binders purchased is 54.

To solve this problem, we need to first assign variables to the number of each type of binder. Let's say x represents the number of large binders and y represents the number of small binders.

We are given the following information:

- The total number of binders is 80: x + y = 80
- The total cost of the binders is $544.20: 8.49x + 5.99y = 544.20

By solving these two equations simultaneously, we can find the values of x and y.

After performing the calculations, we find that the number of large binders purchased is 26 and the number of small binders purchased is 54.

This solution was obtained by setting up a system of equations and solving for the variables using either the substitution or elimination method. The final quantities of large and small binders purchased meet the conditions of the problem.