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In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes. If the taste taste were done at one restaurant by one tester who takes 10 minutes to eat each cheeseburger, approximately how long would it take the tester to eat all possible cheeseburgers?

Respuesta :

Answer:

If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him  is [tex]3276\times 10 = 32760[/tex] minutes Eating round the clock, it would take him   is [tex]\frac{546}{24} = 22 days 18 hours[/tex]

Step-by-step explanation:

Given that "In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes"

From the given we can write

13 buns

8 cheese

4 lettuces

3 tomatoes

 ∴ There would be  different cheeseburger combinations  is given by

[tex]13\times 8\times 4\times 3 = 3,276[/tex]

Given that if the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

[tex]3276\times 10 = 32760[/tex] minutes

Eating round the clock, it would take him

[tex]\frac{32760}{60}=546[/tex] hours

[tex]\frac{546}{24} = 22 days 18 hours[/tex]

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