High School

A recipe has a ratio of 2 tablespoons of cinnamon to 6 tablespoons of sugar. How many tablespoons of cinnamon are needed for each tablespoon of sugar?

Answer :

For each tablespoon of sugar, you need 1/3 tablespoon of cinnamon according to the simplified ratio derived from the original 2:6 ratio of cinnamon to sugar.

To find out how many tablespoons of cinnamon are needed for each tablespoon of sugar, we use the given ratio of 2 tablespoons of cinnamon to 6 tablespoons of sugar. To simplify the ratio, we divide both quantities by the common factor of 2, which gives us:

2 tablespoons cinnamon / 2 = 1 tablespoon cinnamon
6 tablespoons sugar / 2 = 3 tablespoons sugar

So, the simplified ratio is 1 tablespoon of cinnamon to 3 tablespoons of sugar. Therefore, for each tablespoon of sugar, we need 1/3 tablespoon of cinnamon.

Example:

If a recipe calls for 4 tablespoons of sugar, using the ratio, we calculate the amount of cinnamon as follows:

4 tablespoons sugar \3 = 1 1/3 tablespoons cinnamon.

Answer:

for every table spoon of cinnamon 3 table spoons of sugar is needed