SOLUTION: 44. A new automobile engine can run on a mixture of gasoline and a substitue fuel. If gas costs $1.50 per gallon and the substitue fuel costs 40 cents per gallon, what percent of a

Question 154717This question is from textbook college algebra ninth edition gustafson frisk
: 44. A new automobile engine can run on a mixture of gasoline and a substitue fuel. If gas costs $1.50 per gallon and the substitue fuel costs 40 cents per gallon, what percent of a mixture must be substitue fuel to bring the cost down to $1 per gallon? This question is from textbook college algebra ninth edition gustafson frisk

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A new automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $1.50 per gallon and the substitute fuel costs 40 cents per gallon, what percent of a mixture must be substitute fuel to bring the cost down to $1 per gallon?
:
Let x = percent of Substitute fuel
:
.40x + 1.50(100-x) = 100
:
.4x + 150 - 1.5x = 100
.4x - 1.5x = 100 - 150
-1.1x = -50
x =
x = 45.45 % of substitute fuel
:
Check:
1.50 gas: 100 - 45.45 = 54.55
.40(45.45) + 1.50(54.55) =
18.18 + 81.825 = 100.00
:
I am not absolutely sure about this. Let me know if I screwed this one up. Carl
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