Question

3 The school librarian has $100 to spend on some books for the school. Hewants to order many copies of the same book so an entire classroom canread the book. Each copy costs $3.95. Shipping for the books will be $6.95.a) How many copies can the librarian order?b) Describe how you can use estimation to decide whether your answer topart a) is reasonable.

Answer 1

When you do the whole process you will end up getting number 23 as your total.

Answer 2

The librarian can order up to 23 books.

From the estimate, 23 books costs;

`23*\text{ \$3.95}=\text{ \$90.85}`

Adding the cost of shipping;

`\text{ \$90.85+\$6.95= \$97.80}`

The total cost is less than $100 which makes it reasonable.

Step-by-step explanation:

Given that The school librarian has $100 to spend on some books for the school.

And Each copy costs $3.95. Shipping for the books will be $6.95.

We can write the inequality to describe the situation as;

Let x represent the number of books she can buy

`3.95x+6.95\le100`

solving for x;

`\begin{gathered} 3.95x+6.95\le100 \\ 3.95x\le100-6.95 \\ 3.95x\le93.05 \\ x\le(93.05)/(3.95) \\ x\le23.56 \end{gathered}`

the highest possible integer in the solution is;

`23`

Therefore, The librarian can order up to 23 books.

From the estimate, 23 books costs;

`23*\text{ \$3.95}=\text{ \$90.85}`

Adding the cost of shipping;

`\text{ \$90.85+\$6.95= \$97.80}`

The total cost is less than $100 which makes it reasonable.