The soccer club has planned a trip to a tournament. the cost of the van is $210. when 3 students who are not members of the club join the trip, the transportation cost per person drops by $5.83. how many soccer club members are going to the tournament?

The number of students who are going to the tournament are:

                                      12

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.

42.4

step-by-step explanation:

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