Chapter 3, Problem 11CR

To determine

To determine working hours of N’s at the grocery store.

Answer to Problem 11CR

Option (b) is correct.

Explanation of Solution

Given information:

N worked $16$ hours last week. He earned $\$5$ per hour at restaurant and $\$5.50$ per hour at grocery store and he earned total $\$82$ .

Calculation: Let N work ‘x’ hours at the restaurant and ‘y’ hours at the grocery store.

Then

  $x+y=16\mathrm{......}\left(1\right)$

and

  $5x+\left(5.50\right)y=82\mathrm{.....}\left(2\right)$

From equation $\left(1\right)$

  $\begin{array}{l}x=16-y\\ \therefore 5\left(16-y\right)+\left(5.50\right)y=82\\ 80-5y+5.50y=82\\ 80+0.50y=82\\ 0.50y=2\\ \Rightarrow y=\frac{2}{0.5}\\ \Rightarrow y=4\end{array}$

Hence N work $4$ hours at the grocery store.