Q66. - Algebra 2

Question

Jenny baby-sat for $\mathbf{5}\frac{\mathbf{1}}{\mathbf{2}}$ hours on Friday night and 8 hours on Saturday. She charges $$\mathbf{4}\mathbf{.}\mathbf{25}$ per hour. Use the Distributive property to write two equivalent expressions that represent how much money Jenny earned.

Step-by-Step Solution

Answer

The amount that Jenny earned is $$\mathbf{57}\mathbf{.}\mathbf{375}$.

Step 1 ­- Description of step.

It is given that Jenny baby-sat for $5\frac{1}{2}$ hours on Friday night and 8 hours on Saturday and she charges $$4.25$ per hour.

Therefore, the total hours she worked is the sum of the hours that she worked on Friday and Saturday.

Therefore, it can be obtained that:

$\text{Total hours Jenny worked = 5}\frac{\text{1}}{\text{2}}\text{+8}$

Step 2 ­- Description of step.

The charge for 1 hour is $$4.25$.

Therefore, the total charge is given by:

$4.25\left(5\frac{1}{2}+8\right)$

Therefore, by using the distributive property of multiplication it can be obtained that:

$\begin{array}{c}4.25\left(5\frac{1}{2}+8\right)=4.25\left(5.5+8\right)\\ =4.25\times 5.5+4.25\times 8\\ =23.375+34\\ =57.375\end{array}$

Step 3 ­- Write the conclusion.

Therefore, the amount that Jenny earned is $$57.375$