Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice

Respuesta :

Answer:

2  cups of pineapple juice does Francine use for 1 cup of orange juice

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity as 1 such as 3 meter per seconds or 5 miles per hour.

As per the statement:

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie

then by definition of unit rate:

[tex]\text{Unit rate per cup of orange juice} = \frac{\frac{2}{3}}{\frac{1}{3}}[/tex]

Simplify:

[tex]\text{Unit rate per cup of orange juice} = 2[/tex] cups of pineapple juice

Therefore, 2  cups of pineapple juice does Francine use for 1 cup of orange juice

Francine used 3 cups of pineapple juice

How to calculate ratios and proportions

If Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie, to calculate the number of cups of pineapple needed to make 1 cup of juice, we will have:

  • 1 cup of orange juice = x
  • 1/3 cup of orange juice =   2/3 cup of pineapple juice

Cross multply

1/3 x = 2/3

2x = 6

x = 3

Hence Francine used 3 cups of pineapple juice

Learn more on ratio and proportion here: https://brainly.com/question/19994681

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