Question

A recipe calls for 3/4 cup of sugar for every 1/2 teaspoon of cinnamon. What is the unit rate in teaspoons of cinnamon per cup of sugar?

Answer 1

`(2)/(3)` teaspoons of cinnamon per cup of sugar.

Explanation:

A recipe calls for
`(3)/(4)` cups of sugar for every
`(1)/(2)` teaspoons of cinnamon.

For one cup of sugar;

1 ×
`(1)/(2)` ÷
`(3)/(4)` =
`(1)/(2)` ×
`(4)/(3)` =
`(2)/(3)` teaspoons of cinnamon will be needed.