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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?

Respuesta :

leah147
5 shirts and 4 shorts 12+12+12+12+12+25+25+25+25

Answer:

The system of linear inequalities is:

[tex]12x + 25y \leq 160[/tex]

[tex]x + y \geq 5[/tex]

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

Step-by-step 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

[tex]12x + 25y \leq 160[/tex]

Wants to buy at least 5 items.

So

[tex]x + y \geq 5[/tex]

The system of linear inequalities is:

[tex]12x + 25y \leq 160[/tex]

[tex]x + y \geq 5[/tex]

Combination

4 t-shirts, 2 shorts.

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

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