Hanna makes her own furniture polish using 25% vinegar and 75% olive oil. Write and solve an equation to determine how much total solution she made if she used 2 cups of vinegar. Show your work.

Question

Hanna makes her own furniture polish using  25% vinegar and 75% olive oil. Write and solve an equation to determine how much total solution she made if she used 2 cups of vinegar. Show your work.

anonymous · Answer

Assume that x is the amount of vinegar, y is the amount of olive oil, and s is the total amount of solution.
Thus, the amount of vinegar + amount of OO is equal to the amount of solution.
x+y=s
We know that since there will be 3x more olive oil, that
y=3x
So substitute and we get
4x=s
So if she used 2 cups of vinegar, then
4(2)=8 cups of solution

anonymous · Answer

but where did the 4 come from??