Question

If the cost of tickets for 30 students on a school trip to a nearby museum is 180 dollars, the cost of tickets for 100 students would be

• A. 600

Answer 1

The correct option is A 600
The cost of tickets for 30 students $=180$ dollars.
Now, there is a direct proportionality between the number of students and the cost of the tickets.
Let number of students be $x$ and $y$ be the cost of the tickets.
Since, there is a direct proportionality between them.
$\Rightarrow y=Kx,K$ being the constant of proportionality.
$\Rightarrow 180=K\times 30\Rightarrow K=6$.
$\therefore$ For 100 students,
$\text{cost}=y=6\times x=6\times 100=600\text{dollars}$.