Question

.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. A. Write an inequality to represent this story, using b to represent the number of books John buys. B. Solve the inequality, showing each step of your work. C. In complete sentences, explain what the solution means in the context of the story

Answer 1

The required inequality is
`40-6b\leq 10`.

Jhon can buy at most 5 books.

Explanation:

Consider the provided information.

Part(A)

Let b represent the number of books John buys.

He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.

`40-6b\leq 10`

The required inequality is
`40-6b\leq 10`.

Part(B)

`40-6b\leq 10`

`-6b\leq 10-40`

`b \leq(30)/(6)`

`b\leq 5`

Part(C): Jhon can buy at most 5 books.