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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.
Step1: Analyze food cost
There are 4 people, each with food cost \( f \), so total food cost is \( 4f \).
Step2: Analyze drink cost
Each drink is $3, 4 people, so total drink cost is \( 4\times3 \).
Step3: Form total cost equation
Total cost (food + drink) is $62, so equation: \( 4f + 4\times3 = 62 \) (or simplified \( 4(f + 3)=62 \)).
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The equation is \( 4f + 12 = 62 \) (or \( 4(f + 3)=62 \)).