Question

Yuri makes his own citrus vinaigrette salad dressing. He likes the dressing best if it contains 30% fruit juice. He has a bottle of dressing mixture that contains 60% juice and 3 cups of dressing that contains 10% juice. How much of the dressing mix with 60% juice should Yuri add to the dressing mix with 10% juice to get the dressing he prefers with 30% juice? Show your work

Answer 1

We have 3 cups at 10%. These three cups contain .3 cup juice.
We have x cups at 60%. These contains .6 x cup juice
When we mix them we get
y+3 cups that have .3 + .6 x of juice.

Answer 2

\[
\frac{0.6 x+0.3}{x+3}=0.3\\
x=2
\]

Answer 3

Are you there?