Chapter 4.1, Problem 5CYU

To determine

To evaluate:Total cost of notebooks.

Answer to Problem 5CYU

  $\$6.50$

Explanation of Solution

Given information:

Cost of one notebook $=\$1.30$

Number of notebooks purchased $=5$ (three blue and two red)

Concept Used:

Distributive Property: The product sum or difference of two or more numbers inside a parentheses with another number outside the parentheses is equivalent to the sum or difference of product of number outside the parentheses with each number inside the parenthesis. i.e.-

  $a\left(b+c-d\right)=ab+ac-ad$

Calculation:

We can write the cost of one notebook $\$1.30$ as $\$1.00+\$0.30$

The expression for total cost of notebookswill be given by-

  $5\left(\$1.00+\$0.30\right)$

We can write the given expression in distributive form as-

  $5\left(\$1.00+\$0.30\right)=5\left(\$1.00\right)+5\left(\$0.30\right)$

This can further be evaluated as-

  $\begin{array}{l}5\left(\$1.00\right)+5\left(\$0.30\right)=\$5.00+\$1.50\\ \Rightarrow 5\left(\$1.00\right)+5\left(\$0.30\right)=\$6.50\end{array}$

Total cost of notebooksis $\$6.50$