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

Answer:

The librarian can order up to 23 books.

From the estimate, 23 books costs;

$23\times\text{ \ 3.95}=\text{ \ 90.85}$

Adding the cost of shipping;

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

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

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;

$\begin{gathered} 3.95x+6.95\le100 \\ 3.95x\le100-6.95 \\ 3.95x\le93.05 \\ x\le\frac{93.05}{3.95} \\ x\le23.56 \end{gathered}$

the highest possible integer in the solution is;

$23$

Therefore, The librarian can order up to 23 books.

From the estimate, 23 books costs;

$23\times\text{ \ 3.95}=\text{ \ 90.85}$

Adding the cost of shipping;

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

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