How many ounces of a 22 percent alcohol solution and a 45 percent alcohol solution must be combined to obtain 46 ounces of a 33 percent solution?

Answer 1

Let we have x ounces of 22% solution, then (46 - x) ounces we have 45% solution. Then we have equation:0.22x + 0.45(46 - x) = 0.33·46;

fromhere 0.22x + 20.7 - 0.45x = 15.18, - 0.23x = - 5.52, x = 24 ounces

Answer: 24 ounces of 22% solution and 46 - 24 = 22 ounces of 45% solution

Answer 2

t + f = 46

0.22t + 0.45f = 0.33(46)

t = 46 - f

0.22(46 - f) + 0.45f = 0.33(46)

10.12 - 0.22f + 0.45f = 15.18

0.23f = 5.06

f = 22 oz

t = 46 - 22

t = 24 oz