Question

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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. 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

To isolate the term with \( f \), we divide both sides of the equation \( 4(f + 3)=62 \) by 4.
\( \frac{4(f + 3)}{4}=\frac{62}{4} \)
Simplifying, 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 \( f + 3 = 15.5 \).
\( f + 3 - 3=15.5 - 3 \)
Simplifying, we get \( f = 12.5 \)

Answer:

\( 12.5 \)