Problema Solution
Two thirds of the tables in a restaurant are taken. Six of those tables haven't ordered their food yet. What fraction of the seated tables still have to order their food
Answer provided by our tutors
In order to solve this problem, we need to have more information. For example, if we knew the total number of chairs in the restaurant, we could solve it as follows:
Let n=(total chairs in restaurant) and w=(fraction of seated tables that still have to order their food)
w=6/[n(2/3)]
n(2/3) lets us know how many tables make up 2/3 of the total tables.
6/[n(2/3)] lets us know the fraction of the 2/3 tables that haven't ordered.
let 'x' represent the total number of tables in the restaurant, then '(2/3)x' represents the number of tables that are taken
six of those tables haven't ordered their food yet and those table still have to order their food
so '6' out of '(2/3)x' tables still need to order their food:
6/((2/3)x)
which simplifies to:
9/x
therefore '9/x' represents the fraction of seated tables that still have to order their food