SOLUTION: A new automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $3.25 per gallon and the substitute costs 90˘ per gallon, what percent of a mixture mus
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Question 990545: A new automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $3.25 per gallon and the substitute costs 90˘ per gallon, what percent of a mixture must be substitute to bring the cost down to $3.00 per gallon?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of gasoline used
Let = gallons of substitute used
-----------------------------------
I will say that I am filling a 100 gallon
tank with the mixture
---------------------------
(1)
(2) ( in cents )
----------------------------
(2)
(2)
-------------------------
Multiply both sides of (1) by and
subtract (1) from (2)
-------------------------
(2)
(1)
---------------------------
and
(1)
(1)
--------------------
10.638 % of substitute and 89.362 % of gasoline
must be used
--------------------
check answer:
(2)
(2)
(2)
(2)
error due to rounding off
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