SOLUTION: 1 unit of a solution containing x% water is mixed with 3 units of another solution containing y% water. For a resulting solution, containing 60% water, find out how many integral v

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 1 unit of a solution containing x% water is mixed with 3 units of another solution containing y% water. For a resulting solution, containing 60% water, find out how many integral v      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1042858: 1 unit of a solution containing x% water is mixed with 3 units of another solution containing y% water. For a resulting solution, containing 60% water, find out how many integral values can x take? (x>y)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Ax%2B3%2Ay%29%2F%281%2B3%29=60

x%2B3y=4%2A60

system%283y%2Bx=240%2Cor%2Cx%2B3y=240%29

You want to find integer values, in fact, WHOLE NUMBER values for x. Understand that both x and y must be between 0 and 100.

x=240-%283y%29
also x%2By=100
y=100-x
-
x=240-3%28100-x%29
x=240-300%2B3x
x=3x-60
0=2x-60
x-30=0
x=30------------the only value which works.