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Mr. Neil is painting his coffee table. The mixture that he adds to the paint is made of [tex]\frac{5}{6}[/tex] cup of baking soda for every 5 tablespoons of water.

What is the rate in cups of baking soda per tablespoon of water?

The rate is ? cup(s) of baking soda per tablespoon of water.

Answer :

To determine the rate of cups of baking soda per tablespoon of water, follow these steps:

1. Identify the Measurements Given:
- You have [tex]\(\frac{5}{6}\)[/tex] cup of baking soda.
- This is used with 5 tablespoons of water.

2. Find the Rate:
- To calculate the rate, divide the quantity of baking soda by the number of tablespoons of water.
- This can be represented as:

[tex]\[
\text{Rate} = \frac{\text{(cups of baking soda)}}{\text{(tablespoons of water)}}
\][/tex]

3. Calculate:
- Plug in the numbers you have:

[tex]\[
\text{Rate} = \frac{\frac{5}{6}}{5}
\][/tex]

4. Simplify:
- Dividing by 5 is the same as multiplying by [tex]\(\frac{1}{5}\)[/tex]. Thus, the expression becomes:

[tex]\[
\text{Rate} = \frac{5}{6} \times \frac{1}{5} = \frac{5 \times 1}{6 \times 5} = \frac{5}{30} = \frac{1}{6}
\][/tex]

5. Final Answer:
- Therefore, the rate is [tex]\(\frac{1}{6}\)[/tex] cup of baking soda per tablespoon of water.
- In decimal form, this is approximately 0.1667 cups per tablespoon.

So, the rate is approximately 0.1667 cup(s) of baking soda per tablespoon of water.

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