Question

Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to buy at least 5 items.

Write a system of linear inequalities that represents the situation.

What is one possible combination of T-shirts and shorts that Cal could buy?

Answer 1

The system of linear inequalities is:

`12x + 25y \leq 160`

`x + y \geq 5`

4 t-shirts, 2 shorts is one possible combination.

Explanation:

I am going to say that:

x is the number of T-shirts Cal buys.

y is the number of shorts Cal buys.

T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160

This means that

`12x + 25y \leq 160`

Wants to buy at least 5 items.

So

`x + y \geq 5`

The system of linear inequalities is:

`12x + 25y \leq 160`

`x + y \geq 5`

Combination

4 t-shirts, 2 shorts.

6 items costing 12*4 + 2*25 = $98.