SOLUTION: {{{P=((50n-200)/n)+k}}} The profit P from a car wash is modeled by the equation above, where n is the number of cars and k is a constant. Which of the following expressions repr

Algebra ->  Expressions -> SOLUTION: {{{P=((50n-200)/n)+k}}} The profit P from a car wash is modeled by the equation above, where n is the number of cars and k is a constant. Which of the following expressions repr      Log On


   

Question 1043535: P=%28%2850n-200%29%2Fn%29%2Bk
The profit P from a car wash is modeled by the equation above, where n is the number of cars and k is a constant. Which of the following expressions represents n?
A)n=%28200%2Bk%29%2F%2850-p%29
B)n=%28200-k%29%2F%2850%2Bk%29
C)n=200%2F%2850%2Bk-p%29
D)n=200%2F%28k%2Bp-50%29
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
P = ( (50n -200) / n ) + k
:
P / 1 = ( (50n -200) + nk ) / n
:
cross multiply the fractions
:
nP = 50n - 200 + nk
:
nP -50n -nk = -200
:
nk +50n -nP = 200
:
n(k +50 -P) = 200
:
n = 200 / (k +50 -P)
:
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answer is C)
n = 200 / (k +50 -P)
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