In order to develop a more appealing cheeseburger, a franchise uses taste tests with 15 different buns, 8 different cheeses, 3 types of lettuce, and 4 types of tomatoes. If the taste tests 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?

Question

Mathematics

Dickson

6 May, 00:33

In order to develop a more appealing cheeseburger, a franchise uses taste tests with 15 different buns, 8 different cheeses, 3 types of lettuce, and 4 types of tomatoes. If the taste tests 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?

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Aimee Haley · Answer 1

There would be

13 x 8 x 4 x 3 = 3,276 different cheeseburger combinations

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

3276 x 10 = 32760 minutes

Eating round the clock, it would take him

32760 / 60 = 546 hours

546 / 24 = 22 days 18 hours

Now these are the numbers I'm seeing

1313 buns

88 cheese

44 lettuces

33 tomatoes

There would be

1313 x 88 x 44 x 33 = 167,769,888 different cheeseburger combinations

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

167769888 x 10 = 1,677,698,880 minutes

1677698880 / 60 = 27,961,647 hours

27961647 / 24 = 1,165,068.62 days

1165068.62 / 365 = 3,191.97 years