HELP ALGEBRA WORD PROBLEM?
Hi everyone, I have this math problem that I am having a hard time understanding, If someone could explain to me I would really appreciate it. thanks in advance.
A music teacher runs a guitar class for 20 weeks.
The class meets each week in a rented music studio.
Suppose that:
-It cost the teacher "C" dollars to rent the studio for the 20 weeks.
-The class contains "N" students.
-Each student pays the teacher a single fee of "F" dollars for the course.
-The teacher makes a profit of "P" dollars at the end of the course.
1) Suppose that C=400 and F=70. Write an equation to show how the profit made, P, depends on N, the number of students attending.
2) Write a formula for calculating P when you know C,N, and F.
3) Write a formula for calculating F when you know C, N, and P.
PLEASE HELP 
thank you soooo much.
Comments
P = C/FN
profit is based on a set cost divided by the varying number of students who pay a course fee
to calculate for F
P = C/FN
multiply both sides by FN
C=PFN
divide both sides by PN
F = C/PN
(I know the N is redundant but I'm trying to show it simply)
1
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1)
P = ( N * F ) - C
There are N students who all pay F dollars, minus the rent equals the profit
2)
See Above and
P = ( N * 70 ) - 400
P = 70 N - 400
P - 400 = 70 N
( P - 400 ) / 70 = N
The teacher would need to teach at least 6 students per 20 weeks to break even
3)
WTF. This is impossible because I don't know how many students he has OR how much he charges... so, IDK what to tell you for this one, broski.... I'd just write "some dude on Y! Answers helped me with my homework and told me this is impossible" on you're homework .D haha
If the students current grade is a 90% then we’re of course assuming it’s out of 100% 90/100 Now since the students grade improved 20% from the last grading period then you add that to the previous 100% giving you 90/ 120 = .75 And since grades are in percentages you multiply .75 by 100 giving you 75% as the students previous grade
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