T a linen sale Mrs. Earle bought twice as many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased?

For this case, the first thing we must do is define variables:

x: number of pillowcases

y: number of sheets

We now write the system of equations:

2x + 5y = 40

x = 2y

Solving the system we have:

x = 8.9

y = 4.4

Answer:

The maximum number of pillowcases she could have purchased is:

x = 8 (spent less than $ 40)