SOLUTION: One type of gasohol is 10% alcohol and another type is 35% alcohol. How much of each type must be mixed to obtain 400 gallons of a 25% alcohol mixture? Here's what I have so far: 1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One type of gasohol is 10% alcohol and another type is 35% alcohol. How much of each type must be mixed to obtain 400 gallons of a 25% alcohol mixture? Here's what I have so far: 1      Log On


   

Question 66139: One type of gasohol is 10% alcohol and another type is 35% alcohol. How much of each type must be mixed to obtain 400 gallons of a 25% alcohol mixture? Here's what I have so far: 10x+35(25-x)=400 but I don't know if it's right or what to do next.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
.1x+%2B+.35%28400+-+x%29+=+.25%2A400
.1x+%2B+140+-+.35x+=+100
-.25x+=+-40
x+=+160
400+-+x+=+240
You must mix 160 gallons of the 10% gasohol with 240 gallons
of the 35% gasohol to get 400 gallons of the 25% gasohol
check
.1x+%2B+.35%28400+-+x%29+=+.25%2A400
.1%2A160+%2B+.35%2A240+=+100
16+%2B+84+=+100
100+=+100
OK