Question

four people have lunch at a buffet restaurant, where everyone pays the same price the four people also orders a drink for $3. they pay a total of $62 for the food and d to know the price of food for each person. let f equal the price of food for each person. write an equation that represents the situation. 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

We start with the equation \(4(f + 3)=62\). To isolate the term with \(f\), we divide both sides of the equation by 4.

$$ \frac{4(f + 3)}{4}=\frac{62}{4} $$

Simplifying both sides, we get \(f + 3 = 15.5\).

Step2: Subtract 3 from both sides

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

$$ f+3 - 3=15.5 - 3 $$

Simplifying both sides, we find that \(f = 12.5\).

Answer:

\(12.5\)