Be sure to explain your reasoning.

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?

Respuesta :

Answer:

Sally need  [tex]5\frac{1}{3}[/tex]  cups of orange juice.

Step-by-step explanation:

Given:

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.

If she uses 2 cups of pineapple juice.

Now, to find the cups of orange juice.

So, to solve by using unitary method:

As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.

So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]

[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]

[tex]=\frac{8}{3}[/tex]  cups.

Thus, 2 cups of pineapple juice is needed for orange juice  of  = [tex]\frac{8}{3} \times 2[/tex]

= [tex]\frac{16}{3}[/tex]

= [tex]5\frac{1}{3}[/tex] cups.

Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.

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