Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.

Respuesta :

The inequality that models the situation is given by:

[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]

How does Amir plans to spend his $50?

He plans to spend it as follows:

  • With a new pair of sandals, costing $26.50.
  • With n new shirts, each costing $8.

Hence, his total spending is given by:

T = 26.50 + 8n.

He can spend at most $50, hence:

[tex]T \leq 50[/tex].

[tex]26.50 + 8n \leq 50[/tex]

[tex]8n \leq 23.5 \rightarrow n \leq 2.9375[/tex]

More can be learned about inequalities at https://brainly.com/question/25235995

ACCESS MORE