Question

A Big Burger has $ \dfrac{1}{4} $ pound of meat and a super burger has $ \dfrac{1}{3} $ pound of meat. How much more meat is used for the super burger?

Answer 1

Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. We can solve the given problem by applying the method of mathematical equations and then simplify it.

Complete step by step solution:
We need to first understand the requirement of the question which is the quantity of meat used in super burgers.
Let us assume the extra meat used in the super burger is $ x $ .
It is given that $ \dfrac{1}{3} $ pound of meat uses an inn super burger and $ \dfrac{1}{4} $ meat used in a big burger which is lesser than the super burger meat in quantity.
 Applying them in the equation according to the question we have: $ x = \dfrac{1}{3} - \dfrac{1}{4} $ .
Now we solve this equation by taking the L.C.M of the fractions of the right hand side i.e. $ x = \dfrac{{4 - 3}}{{12}} \Rightarrow 12x = 1 $ .
By isolating the term $ x $ we have $ x = \dfrac{1}{{12}} $ .
Hence the required more meat is $ \dfrac{1}{{12}} $
So, the correct answer is “ $ \dfrac{1}{{12}} $ ”.

Note: We should always be careful what the question is asking i.e. how much more quantity is used in super burger than the big burger. Based on the requirement and by observing all the necessary information that is already available in the question we gather the information and then create an equation or by unitary method whichever is applicable, then we solve the problem and then verify the answer by putting the value in the problem and see whether we get the same answer or not.