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. which quantity does the group want to find? price of food per person let f equal the price of food for each person. write an equation that represents the situation.

Explanation:

Step1: Analyze the cost components

There are 4 people. Each person pays for food (let's say \( f \)) and a drink of $3. So for one person, the total cost is \( f + 3 \).

Step2: Calculate total cost for 4 people

For 4 people, the total cost is \( 4\times(f + 3) \). And we know the total cost is $62. So the equation is \( 4(f + 3)=62 \) (or we can expand it as \( 4f+12 = 62 \), but the form with the parentheses is also correct based on the operation of multiplying the per - person cost by the number of people).

Answer:

The equation is \( 4(f + 3)=62 \) (or \( 4f + 12=62 \))