SOLUTION: This problem is not in a book it is a hand out. If the mixture is P% gasoline, prices at $1.60 per gallon, and (100-P)% alcohol, priced at $1.00 per gallon, write a formula for

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: This problem is not in a book it is a hand out. If the mixture is P% gasoline, prices at $1.60 per gallon, and (100-P)% alcohol, priced at $1.00 per gallon, write a formula for       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 125553: This problem is not in a book it is a hand out.
If the mixture is P% gasoline, prices at $1.60 per gallon, and (100-P)% alcohol, priced at $1.00 per gallon, write a formula for the price of a gallon of gasahol.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is not in a book it is a hand out.
If the mixture is P% gasoline, prices at $1.60 per gallon, and (100-P)% alcohol,
priced at $1.00 per gallon, write a formula for the price of a gallon of gasahol.
:
p = per cent gasoline
:
f(p) = price of a gallon of gasahol.
:
f(p) = %28%281.6p%29%29%2F100 + %281%28100-p%29%29%2F100; is the gasahol formula
:
:
We can test our formula using 50% gasoline, it should be $1.30
:
f(50) = %28%281.6%2850%29%29%29%2F100 + %281%28100-50%29%29%2F100
f(50) = 80%2F100 + 50%2F100
f(50) = .80 + .50
f(50) = $1.30