SOLUTION: how many onces of a 40% alchol must be mixed with 12 onces of a 45% alcohol solution to make a 42% alcohol solution

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: how many onces of a 40% alchol must be mixed with 12 onces of a 45% alcohol solution to make a 42% alcohol solution      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 267037: how many onces of a 40% alchol must be mixed with 12 onces of a 45% alcohol solution to make a 42% alcohol solution
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
this is a mixture problem. Here is a table based on given information.
solutions . . . . . . . % . . . . . . . . ounces . . . . . . %ounces
40 . . . . . . . . . . . .40 . . . . . . . . . .x . . . . . . . . . . .40x
45 . . . . . . . . . . . .45 . . . . . . . . . .12 . . . . . . . . . .540
mixture . . . . . . . .42 . . . . . . . . . .x + 12. . . . . . .42x + 504
looking at the third column, we get
(i) 40x+%2B+540+=+42x+%2B+504
subtract 40x and then subtract 504 to get
(ii) 2x+=+36
divide to get
(iii) x+=+18