Question

four people have lunch at a buffet restaurant, where everyone pays the same price to eat. each of the four people also orders a drink for $3. they pay a total of $62 for the food and drinks. they want to know the price of food for each person. (number of people)(price per person) = total price 4 (f + 3) = 62 solve the equation to find f, the price of food for each person. f =

Explanation:

Step1: Divide both sides by 4

To isolate the term with \( f \), we divide both sides of the equation \( 4(f + 3)=62 \) by 4. This gives us \( f + 3=\frac{62}{4} \), and simplifying \( \frac{62}{4} \) we get \( f + 3 = 15.5 \).

Step2: Subtract 3 from both sides

To solve for \( f \), we subtract 3 from both sides of the equation \( f + 3=15.5 \). So, \( f=15.5 - 3 \).

Step3: Calculate the value of f

Calculating \( 15.5-3 \), we get \( f = 12.5 \).

Answer:

\( 12.5 \)