Chapter 4.1, Problem 19PPS

To determine

To evaluate:Total cost of jeans.

Answer to Problem 19PPS

  $\$66.00$

Explanation of Solution

Given information:

Cost of one jeans $=\$32.85$

Number of jeans $=2$

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:

  $\$32.85\approx \$33.00$

Total cost will be-

  $2•\$33.00=\$66.00$

We can also solve it using distributive property.

We can write the cost of one pair of jeans $\$32.85$ as $\$33.00-\$0.15$

The expression for total cost of jeans will be given by-

  $2\left(\$33.00-\$0.15\right)$

We can write the given expression in distributive form as-

  $2\left(\$33.00-\$0.15\right)=2\left(\$33.00\right)-2\left(\$0.15\right)$

This can further be evaluated as-

  $\begin{array}{l}2\left(\$33.00\right)-2\left(\$0.15\right)=\$66.00-\$0.30\\ \Rightarrow 2\left(\$33.00\right)-2\left(\$0.15\right)=\$65.70\end{array}$

Total cost of jeans is $\$65.70\approx \$66.00$