Question

Geneva treated her parents to dinner at their favorite restaurant. The bill was $\$74.25.$Geneva wants to leave $16\%$of the total bill as a tip. How much should the tip be?

Short answer

The amount of the tip should be$\$11.88.$

Step-by-step solution

Step 1. Given Information

The amount of the bill is $\$74.25.$Geneva wants to leave the tip as $16\%$of the total bill. We have to find the amount of the tip.

Step 2. Translate into an equation

Let t be the amount of tip.

Now, the tip is $16\%$of the total bill.

So, the equation is

role="math" localid="1647163078629" $t=16\%\times 74.25$

Step 3. Solve the equation

By proceeding with the calculation further

$$\begin{gathered} t=\left(16\%\right)\times \left(74.25\right) \\ t=\left(0.16\right)\times \left(74.25\right) \\ t=11.88 \end{gathered}$$

Step 4. Check the answer

So, yes$16\%$of $\$74.25$is $\$11.88.$

Thus, the amount of the tip should be$\$11.88.$