Chapter 4.1, Problem 40PPS

To determine

Tocalculate:Total wage for babysitting.

Answer to Problem 40PPS

  $\$52.00$

Explanation of Solution

Given information:

Per hourchargefor babysitting $=\$6.50$

Hours worked $=8$ (three on Friday and 5 on Saturday)

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 per hour charge for babysitting $\$6.50$ as $\$6.00+\$0.50$

The expression for total wage for babysitting will be given by-

  $8\left(\$6.00+\$0.50\right)$

We can write the given expression in distributive form as-

  $8\left(\$6.00+\$0.50\right)=8\left(\$6.00\right)+8\left(\$0.50\right)$

This can further be evaluated as-

  $\begin{array}{l}8\left(\$6.00\right)+8\left(\$0.50\right)=\$48.00+\$4\\ \Rightarrow 8\left(\$6.00\right)+8\left(\$0.50\right)=\$52.00\end{array}$

Total wage for babysitting is $\$52.00$