how do i set up the equation for this word problem? A solution of 78% alcohol is to be mixed with a solution of 23% alcohol to form 165 L of a 58% solution. How many liters of the 78% solution must be used?

Question

anonymous · Answer

Let the alcohol with 78% be solution with quantity A.
Let the alcohol with 23% be solution with quantity B.
0.78A+0.23B=0.58(165)
                    =95.7

Also the total of A and the total of B must equal 165,
in other words A+B=165
So you have simultaneous equations now.
Is that enough to get on with?

anonymous · Answer

0.78 x + 0.23 y  = 0.58 * 165           where  x = vol. of 78 % solution and y = 23%
also x + y = 165

anonymous · Answer

i gav u the same equations silverstravin....guess u must've gone wrong in calculation. check it again.

anonymous · Answer

I got x=-0.2948717949y+122.6923076923 ???????????