Irent a gym for $150 for 30 students another time i rent the gym for $270 for 70 students i need to find a fixed rate

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

Now we will subtract equation 1 from equation 2 we get;

Dividing both side by 40 we get;

Now we will substitute the value of x in equation 1 we get;

So we can say that the equation can be written as;

Hence we can say that fixed rate is $60 and per student charge is $3.

13cm

step-by-step explanation:

(apex)