Question

On birthday, Jack decided to give comic DVDs to all of his school teachers towards his initiative of making comics popular among adults. There are $27$ teachers in his school, and each comic DVD costs $\$12$. How much money (in dollars) Jack needs to spend to make his initiative successful?

• A. $\$423$
• B. $\$234$
• C. $\$324$
• D. $\$342$

Answer 1

The correct option is C $\$324$

Number of teachers in Jack's school $=27$
Cost of $1$ comic DVD $=\$12$

$\therefore$ Total cost incurred by Jack to give one comic DVD to each of $27$ teachers $=\$(12\times 27)$

To get the value of $12\times 27$, we follow the below steps:

$\bullet$ First we write the bigger number at the top and smaller number just below of it with a proper alignment of one's place.


$\bullet$ We first multiply $2$ with $7$, which is $\underset{–}{1}4$, where $1$ is carrying over to the next multiplication, $2\times 2$. So, the next number, we get $(2\times 2)+1=4+1=5$.


$\bullet$ For the next multiplication step, we leave one's place (denoted by faded $0$), and start from ten's place.
We first multiply $1$ with $7$, which is $7$, and the next number would be $1\times 2=2$.


$\bullet$ Next, we add $54$ and $270$ to get the final result. Here, $‘‘1+"$ denotes the carry over in addition.


$\therefore 27\times 12=324$

Hence, Jack needs to spend $\$324$ to give a comic DVD to each of his $27$ teachers.