Question

Tim left a $\backslash (9$ tip for a $\backslash )50$ restaurant bill. What percent tip did he leave?

Short answer

The percent tip is $18\%.$

Step-by-step solution

Step 1. Given Information 

The restaurant bill is $\$50$and Tim left a tip of $\$9.$ We have to find the percent of the tip.

Step 2. Translate into an equation 

Letpbe the percentage.

Now, percent of the restaurant bill $\$50$is the tip of$\$9$

So, the equation is

$50·p=9$

Step 3. Solve the equation  

By proceeding with the calculation further

$$\begin{gathered} 50·p=9 \\ p=\frac{9}{50} \\ p=0.18 \\ \mathrm{Convert}\mathrm{into}\mathrm{percentage} \\ p=0.18\times 100\% \\ p=18\% \end{gathered}$$

Step 4. Check the answer 

So, yes $18\%\mathrm{of}50\mathrm{is}9.$

Thus, the percent tip Tim left is$18\%.$