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Bunuel
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Bunuel
A travel company wants to charter a plane to the Bahamas. Chartering the plane costs $8,000. So far, 18 people have signed up for the trip. If the company charges $300 per ticket, how many more passengers must sign up for the trip before the company can make any profit on the charter?

A. 7
B. 9
C. 13
D. 27
E. 45

Q: Additional passengers (i.e., an integer, let's say x) who must sign up BEFORE the company can make ANY profit = ?

300 * 18 + 300 * x >= 8000

5400 + 300x >= 8000

300x >= 2600

x >= 2600/300

x >= 8.66 ===> since we want an integer, then x (i.e., additional passengers needed to sign up) must be at least 9 before the company can make any profit

Answer: B
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How many people need to sign up for the company to make a profit? --> Question is basically asking how many times can 300 go into 8000; anything above the result will generate a profit

so... 80/3 = 26 R 2 --> From this we know that if 26-18 = 8 more people sign up, company will still not see a profit,

add 1 person to generate profit --> 8+1 = 9
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