# SOLUTION: How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol?       Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Mixtures Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Mixture Word Problems Question 511841: How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol? Answer by stanbon(57246)   (Show Source): You can put this solution on YOUR website!How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol? ---- Equation: alcohol + alcohol = alcohol 0.74x + 0.90*5 = 84*(x+5) ----------------- Multiply thru by 100 to get: 74x + 90*5 = 84x + 84*5 --- 10x = 6*5 x = 3 gallons (amt. of 74% solution needed) ============== Cheers, Stan H.