A recipe calls for 2/3 cup of sugar for every 4 teaspoons of vanilla. What is the unit rate in teaspoons per cup? Explain your answer.

(2/3)/4 = 1/x

4 / (2/3)

4 * (3/2) = 12/2 = 6 teaspoons per cup.

its trash

i still don`t get it.

This explains so little compared to the other websites i saw to see what the correct answer was, It also needs more information on how they solved the problem and who showed them it.

This is trash it doesnt give me the right answers!

it doesn't explain properly.

PLSSSS EXPLAINNNNNN

To find the unit rate in teaspoons per cup, we need to determine the amount of teaspoons of vanilla in one cup.

First, let's convert 2/3 cup to teaspoons. Since there are 48 teaspoons in one cup (16 teaspoons per 1/3 cup), the amount of sugar in 2/3 cup is 2/3 * 48 = 32 teaspoons.

Next, we need to determine the amount of vanilla corresponding to 32 teaspoons of sugar. Given that the recipe calls for 4 teaspoons of vanilla for every 32 teaspoons of sugar (as 2/3 cup of sugar is equivalent to 32 teaspoons), the ratio is 4:32 or simplified, 1:8. This means that for every 1 teaspoon of vanilla, there are 8 teaspoons of sugar.

Finally, to find the unit rate in teaspoons per cup, we need to calculate the number of teaspoons of vanilla in one cup. Since there are 8 teaspoons of sugar for every 1 teaspoon of vanilla, there are also 8 teaspoons of sugar for every 1 cup of vanilla. Therefore, the unit rate is 8 teaspoons per 1 cup.

2/3