A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the number of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling. What is the maximum amount of sports drinks you can purchase for $75?

Question

21-08-2022
Mathematics

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A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the number of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling. What is the maximum amount of sports drinks you can purchase for $75?

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priyankapandeyVT priyankapandeyVT · Answer 1 · 2022-08-24T18:03:52+02:00

The required maximum number of drinks that can be purchased for $75 is 85.

Given that,
For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling.

Here,
Case 1

For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling.
Number of sport drinks = 75 - 10 / 0.80 = 81 sports drinks

Case 2
When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling.
Number of sport drinks = 75 - 15 / 0.70 = 85 sport drinks

Thus, the required maximum number of drinks that can be purchased for $75 is 85.

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