Question

A recipe calls for 2/3 cup of sugar for every four teaspoon of vanilla what is the unit rate in teaspoon per cup?

Answer 1

"
`(2)/(3)\text{ cup of sugar}` per
`4\text{ teaspoons vanilla}`" is what you are given

• Unit rate for teaspoon per cup:
  `x\text{ teaspoons vanilla}/y\text{ cups sugar}=(x)/(y)\text{ teaspoons/cup}`
• 
  `x=4` and
  `y=(2)/(3)`, therefore your unit rate is
  `(4/(2)/(3))\text{ teaspoons/cup}`
• Dividing the numbers:
  `4/(2)/(3)=4*(3)/(2)=2*3=6` -- this means:
  `6\text{ teaspoons/cup}`