Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let [tex]x[/tex] be the ounces of water that need to be added and [tex]y[/tex] be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:
[tex]x+y=245[/tex]
35% of [tex]x[/tex] is the salt, and since no salt is added with addition of [tex]y[/tex] liters of water, this must be equal to the amount of salt in the final 15% solution:
[tex]0.35x=0.15*245[/tex]
we solve for [tex]x[/tex] and get:
[tex]x=105[/tex]
We put this value into [tex]x+y=245[/tex] and solve for [tex]y[/tex] to get:
[tex]y=140[/tex]
Thus we have 140 ounces of water and 105 ounces of 35% solution.
