Question

In order to develop a more appealing​ cheeseburger, a franchise uses taste tests with 12 different​ buns, 7 different​ cheeses, 4 types of​ lettuce, and 3 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?

Answer 1

It will take a week to taste all the cheeseburgers possible.

Explanation:

Given:

Number of buns of different types = 12

Number of cheeses of different types = 7

Number of lettuce of different types = 4

Number of tomatoes of different types = 3

Time taken to eat one cheeseburger = 10 minutes

To find:

Total time taken to eat all the possible cheeseburgers = ?

Solution:

First of all, we need to find out what all possible number of cheeseburgers can be made using the given number of ingredients.

Total number of possible ways to make cheeseburgers = Number of choices of buns
`*` Number of choices of cheeses
`*` Number of choices of Lettuces
`*` Number of choices of tomatoes

And this number of choices are nothing but the number of types of ingredients available.

So, total number of cheeseburgers possible = 12
`*` 7
`*` 4
`*` 3 = 1008

Time taken to eat 1 cheeseburger = 10 minutes

Time taken to eat 1008 cheeseburger = 10
`*` 1008 = 10080 minutes = 168 hours = 7 days

i.e. It will take a week to taste all the cheeseburgers possible.