A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to water?

2 to 9
3 to 8
3 to 9
9 to 3

1 answer

Initially, the mixture has 8 parts water and 2 parts salt, giving a total of \(8 + 2 = 10\) parts.

Now, when one part of each (water and salt) is added, the new amounts become:

  • Water: \(8 + 1 = 9\) parts
  • Salt: \(2 + 1 = 3\) parts

Now, we can find the new ratio of salt to water:

\[ \text{Ratio of salt to water} = \frac{\text{parts of salt}}{\text{parts of water}} = \frac{3}{9} \]

This simplifies to:

\[ \frac{3}{9} = \frac{1}{3} \]

In the context of the options provided (2 to 9, 3 to 8, 3 to 9, 9 to 3), the answer that corresponds to the ratio of salt to water is:

3 to 9.