The problem: The Spanish club is arranging a trip to a Mexican restaurant in a nearby city. Those who must go share the $60 cost of using a school bus for the trip. The restaurant\'s buffet costs $5 per person. How many students sign up for this trip in order to limit the cost to $10 per student?

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The question: How many students must go on the Spanish club trip to the Mexican restaurant in order for the cost per person to be $10?

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Solution: Let s represent the number of students. Write a verbal model.

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The method to solve that problem is to do that:

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cost per student x number of students = cost of buffet x numebr of students + cost of school bus.

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0s = 5s + 60 Substitute

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10s - 5 = 5s - 5s + 60 Subtract 5s from each side

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5s = 60 Simplify

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5s/5 = 60/5 Divide each side by 5

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s = 12 Simplify

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Answer: The club needs 12 students to go on the trip.

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Chapter 3 -Multi-step equations and inequalities