Question

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.

Answer 1

System of Equations

Let

x = Number of laptops

y = Number of tablets

There are 30 salespeople and the business wants to assign one device to each one of them, thus:

x + y = 30

Each laptop cost $515 and each tablet cost $285. The business has $11,080 to spend in the new equipment, thus:

515x + 285y = 11,080

The system of equations that models the problem is:

x + y = 30

515x + 285y = 11,080