Question

Max's bill at a restaurant is $8.67. He uses the following method to figure out a tip of about 15%. Round the amount of the bill to the nearest ten cents. Move the decimal point one place to the left. Then find half of the result. Add the last answers, and round to the nearest five cents. How much will the tip be for this bill? Why does Max's idea work. Show your work and explain

Answer 1

$\frac{x}{8.67} \frac{15}{100} \\ 100x=130.05 \\ \frac{100x}{100} \frac{130.05}{100} \\ x= 1.30$