Question

Nia and Trey both had a sore throat so their mom told them to gargle with warm salt water.

Nia mixed 1 teaspoon salt with 3 cups of water.
Trey mixed 12 teaspoon 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.”

Explain why the salt water mixtures taste the same.
​

Answer 1

both mixes used the same ratio of salt to water.

Explanation:

Nia used double Trey's recipe, doubling both the salt and the water. So, the ratio of salt to water was the same in each mix.

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Trey's recipe: (1/2 tsp salt : 1.5 cups water)

Nia's recipe: 2(1/2 tsp salt : 1.5 cups water) = 1 tsp salt : 3 cups water