Question

How many three-quarters parts of 24 pancakes can be made?
(A) 18
(B) 36
(C) 32
(D) 16

Answer 1

Hint: Assume that the number of three-quarters pancakes that can be made from 24 pancakes is \[x\] . Now, calculate the total amount of three-quarters of pancakes by multiplying \[x\] and \[\dfrac{3}{4}\] . Since three-quarters of pancakes have been made from 24 full pancakes, the total amount of three-quarter pancakes must be equal to 24 pancakes. Now, make \[\dfrac{3}{4}x\] equal to 24 and calculate the value of \[x\] .

Complete step by step answer:
According to the question, we are given 24 pancakes and we have to figure out the number of the three-quarters part that can be made from 24 pancakes.
The total number of pancakes = 24 ………………………………………..(1)
First of all, assume that the number of three-quarters pancakes that can be made from 24 pancakes is \[x\] ……………………………………..(2)
Every pancake is three-fourth of its original size and the total number of three-fourth pancakes is \[x\] . Also, three-quarters of pancakes have been made from 24 full pancakes. So, the total amount of three-quarter pancakes must be equal to 24 pancakes ………………………………………..(3)
The total amount of pancakes required to make three-quarters of \[x\] pancakes = \[\dfrac{3}{4}x\] ………………………………………………(4)
Now, from equation (1), equation (3), and equation (4), we get
\[\begin{align}
  & \Rightarrow \dfrac{3}{4}x=24 \\
 & \Rightarrow x=\dfrac{24\times 4}{3} \\
 & \Rightarrow x=8\times 4 \\
\end{align}\]
\[\Rightarrow x=32\] …………………………………(5)
In equation (1), we have assumed that \[x\] is the number of three-quarters of pancakes made from 24 pancakes.
Therefore, the number of three-quarters of pancakes that can be made from 24 pancakes is 32.

So, the correct answer is “Option C”.

Note: In this question, one might think that why only \[\dfrac{3}{4}\] is getting multiplied to \[x\]. Since three-quarters of every pancake has been taken and three-quarters is equal to \[\dfrac{3}{4}\] . So, to calculate the total amount of three-quarters of pancakes, \[\dfrac{3}{4}\] must be multiplied with \[x\] .