Ace ate lunch at a family restaurant. After he finished, he paid the waitperson $17.25. That amount included the cost of the food and also the tip. The tip was 15% of the price of the food. How much money did Ace give to the waitperson for a tip?

Respuesta :

Answer:

Ace give to the waitperson amount of $ 2.25 as a tip

Step-by-step explanation:

Given as :

The total amount paid to waitperson = $ 17.25

I.e Amount of food + amount for tip   = $ 17.25

Let the amount of food  = $ x

So, The amount of tip = 15% of $ x

 $ x + 15% of $ x      = $ 17.25

Or, [tex]\frac{115}{100}[/tex] × $x = $ 17.25

Or, 1.15 × $x   = $ 17.25

∴               x    = [tex]\frac{17.25}{1.15}[/tex] = $ 15

So,       The Amount of food = x =$ 15

And      The Amount of waitperson = 15% × x = 15% × 15 = $ 2.25

Hence, Ace give to the waitperson amount of $ 2.25 as a tip   Answer