Quote:
A sandwich shop offers a sandwich menu, a soup menu, and a salad menu. The number of salads listed on the salad menu is twice the number of sandwiches listed on the sandwich menu and 1 more than the number of soups listed on the soup menu. How many soups are listed on the soup menu?
There are three menus with options, that is each menu has certain number of options to choose from.
Sandwich menu: Let the number of options, that is different type of sandwiches be x
Salad menu: Number of salads or options will be 2*x
Soup menu: Number of options in soup be y, where y = 2x-1
we have to find the value of y or 2x-1.
(1) The total number of choices a customer has when choosing 1 item from each of 2 of the menus is 63.
Each of the 2 menus means that you have to pick all possible pair from the threemenus:-
Sandwich &Salad: Pick one item from each, so x*2x or\(2x^2\) ways
Sandwich &Soup: Pick one item from each, so x*(2x-1) or\(2x^2-x\) ways
Salad &Soup: Pick one item
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Statistics : Posted by chetan2u • on 07 Oct 2023, 15:56 • Replies 9 • Views 4001
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