Question

A group of psychologists organized a research study in a college campus. Participants were invited for the study and they were paid 15$iftheyarestudentsand$ $10$ if they are non-students. If there were $10$ participants and college pays a total cost of 120$, how many of the participants were students?

Answer 1

Let the number of students are $x$

Then number of non-student $=$ $10-x$

Then according to the question,

$\Rightarrow 15\left(x\right)+10(10-x)=120$

$\Rightarrow 15x+100-10x=120$

$\Rightarrow 5x=20$

$\Rightarrow x=\frac{20}{5}=4$

Hence, there were $4$ participants were students.