<h2>
Answer:</h2>
The number of students who are going to the tournament are:
12
<h2>
Step-by-step explanation:</h2>
Let x be the number of students who were earlier going to trip.
and total cost=$ 210
Hence, the cost per person earlier was:
Also, 3 more students joined the group.
This means that the cost per person now will be:
Also, it is given that:
When 3 students who are not members of the club join the trip, the transportation cost per person drops by $5.83.
This means that:
Hence,
i.e.
on simplifying the equation we get:
Hence, on using the quadratic formula:
i.e. any quadratic equation of the type:
has solution of the type:
Here we have:
a= 583, b=1749 and c= -63000
Hence, on putting these value in the quadratic formula we get the value of x as:
x=9.003 and x= -12.003
Since, the students will exist as a whole and positive number.
Hence, x=9
This means that the total number of students who will be going to the tournament are: x+3=9+3=12 students.