To create passion pink with a 2:7 ratio of red to white paint, using 20 drops of red paint requires 70 drops of white paint, determined through the proportion

To determine the number of drops of white paint needed to create passion pink, we use the given ratio of red to white paint, which is 2:7. This ratio indicates that for every 2 parts of red paint, 7 parts of white paint are used in the mixture.
If you use 20 drops of red paint, you can set up a proportion to find the corresponding amount of white paint. Let x represent the number of drops of white paint.
![\[ (2)/(7) = (20)/(x) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/x8tume2ilc9v6ntnkjipz2wk9wdxh6ldua.png)
Cross-multiplying gives 2x = 140, and solving for x yields x = 70.
Therefore, to make passion pink with 20 drops of red paint, you would need 70 drops of white paint.
The probable question may be:
A color called passion pink is made by mixing red paint and white paint in a ratio of 2:7. How many drops of white paint do you need: if you use 20 drops of red paint?