Respuesta :

Only 4 books can be bought in the given scenario

Step-by-step explanation:

Let x be the number of books

Then

The cost of books will be represented by 6.50x

According to given statement, that the student cannot spend more than 35

and he also wants to buy one poster worth $5

The inequality will be:

[tex]6.50x+5\leq 35\\Subtracting\ 5\ from\ both\ sides\\6.50x+5-5\leq 35-5\\6.50x\leq 30\\Dividing\ both\ sides\ by\ 6.50\\\frac{6.50x}{6.50}\leq \frac{30}{6.5}\\x\leq 4.6[/tex]

This means that the student can only bur four books and one poster because if he will buy more, the total cost will be more than 30

So,

Only 4 books can be bought in the given scenario

Keywords: Inequality, Word problems

Learn more about inequalities at:

  • brainly.com/question/4168505
  • brainly.com/question/4228574

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