Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups warm water. Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water. Nia tasted Trey’s water and said, “I added more salt, so I expected that mine would be more salty, but they taste the same! Explain why both salt water mixtures taste the same.

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

Thus 1 : 3 is equivalent to the ratio , which means that Nia's solution has teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is in Trey’s solution.

On dividing the amount of salt and the amount of water by , the ratio will be the same.

So Trey’s ratio is also equal to the ratio .

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

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