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ISEE Upper Level
Quantitative Reasoning

Bus Trip Maximum Distance Calculation

Very Hard Word Problems Advanced Algebra

Anna is organizing a school trip and needs to hire a bus company. The bus company charges a base fee of $200 plus $5 per mile traveled. If the total distance of the trip is D miles and there are a total of S students, she also plans to pay an additional $3 per student for snacks. The total cost for the trip can be expressed with the formula:

$$C = 200 + 5D + 3S$$

After evaluating several bus companies, Anna realizes that she needs to limit the total cost to a maximum of $800. If Anna has already confirmed S = 40 students for the trip, what is the maximum distance D she can afford to travel?

Hint

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