Nia and Trey both had a sore throat so their mom told them o gargle with warm salt water.
-Nia mixed 12 teaspoon salt with 3 cups of water.
-Trey mixed 12 teaspoons salt with 112 cups of water.
Nia tasted Trey's salt water.She said," I added more salt so I expected that mine would be more salty, but they taste the same."
1) Explain why the salt water mixture is the same.
I don't get how the salt water mixture would taste the same so I was wondering if you could help. Thanks.
beats me.
4 tsp/cup vs 3/28 tsp/cup?
doesn't look the same to me, if the numbers are correct.
I'm not sure so maybe the numbers on the question are wrong but thanks for the help anyway.
Sure! Let's break it down step by step to understand why the salt water mixture tastes the same, even though Nia added a different amount of salt compared to Trey.
In order to determine the saltiness of a liquid, we need to consider its concentration. Concentration refers to the amount of a substance (in this case, salt) dissolved in a given volume of another substance (in this case, water).
Here are the details of the salt water mixtures prepared by Nia and Trey:
1) Nia mixed 12 teaspoons of salt with 3 cups of water.
2) Trey mixed 12 teaspoons of salt with 112 cups of water.
To compare the concentration of the salt in both mixtures, we need to calculate the ratio of salt to water. In the case of Nia's mixture, the ratio is 12 teaspoons of salt to 3 cups of water. We can simplify this ratio by dividing both values by 3 to get 4 teaspoons of salt to 1 cup of water.
Similarly, for Trey's mixture, the ratio is 12 teaspoons of salt to 112 cups of water. Simplifying this ratio by dividing both values by 112 gives us 1/9 teaspoon of salt to 1 cup of water.
Now, if we compare the simplified ratios, we can see that Nia's mixture has a higher concentration of salt. However, it's important to note that even though Nia's mixture has more salt per cup of water, the total volume of water she used is significantly less than Trey's.
The reason why both mixtures taste the same is because the taste of saltwater primarily depends on the concentration of salt ions (Na+ and Cl-) in the liquid. Both Nia and Trey's mixture have a similar concentration of salt ions, even though the ratio of salt to water is different. This is because the actual concentration is determined by the number of salt ions dissolved, not the specific amounts used to achieve it.
Therefore, both mixtures have a similar concentration of salt ions and taste the same despite the difference in the amount of salt used.
I hope this explanation clarifies why the salt water mixtures taste the same! Let me know if you need any further assistance.