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Tyina is buying 12 shirts for the drama club. She will choose a style for the blank shirts and then pay an additional charge of $2.75 for each shirt to have the club logo. If Tyina cannot spend more than $99, how much can she spend on each blank shirt? Write and solve an inequality to find the possible cost of each blank shirt.

Respuesta :

Answer:

Cost of each blank shirt is less than or equal to $ 5.5

Step-by-step explanation:

Let x denotes cost of each blank shirt.

Total number fo shirts bought by Tyina = 12

Amount charged for each shirt to have the club logo = $2.75

So,

Amount charged for 12 shirts to have the club logo = [tex]12(2.75)=\$33[/tex]

As Tyina cannot spend more than $99,

[tex]12x+33\leq 99[/tex]

Now solve the inequality.

[tex]12x+33\leq 99\\12x\leq 99-33\\12x\leq 66\\x\leq \frac{66}{12}\\ x\leq 5.5[/tex]

So,

Cost of each blank shirt is less than or equal to $ 5.5

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