Question

A packet can hold $ 144 $ pens. How many packets are required to pack $ 3845952 $ pens?

Answer 1

Hint: Here we will divide the total number of pens with the pens in one packet to know the total number of packets of pens. Here we are using the property of grouping which is similar to a packet. Simplify the division for the required resultant value.

Complete step by step solution:
Given that: $ 144 $ pens are in one packet
Therefore, $ 3845952 $ pens $ = ? $ packets
Perform cross multiplication in the above expression where one side of the term is multiplied with the second term of the opposite side.
Number of packets $ = \dfrac{{3845952}}{{144}} $
Find the factors of the term in the numerator.
Number of packets $ = \dfrac{{144 \times 26708}}{{144}} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
Number of packets $ = 26708 $
Hence, if a packet can hold $ 144 $ pens, then $ 26708 $ packets are required to pack $ 3845952 $ pens
So, the correct answer is “ $ 26708 $ packets”.

Note: Always read the word statement twice and frame the equation accordingly. Here we are given a total of many and we have to get the answer in few so we have used division but incase when the value of one is given and many is required to find then use multiplication. Be good in division and multiplication.