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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
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