Question

Francine uses \dfrac23

3

2

​ start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every \dfrac13

3

1

​ start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.

Enter the number of cups of pineapple juice Francine uses for 111 cup of orange juice.

Answer 1

Answer:

$\frac{1}{2}$ cup of pineapple juice.

Step-by-step explanation:

We are told that Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. In order to get  the number of cups of pineapple juice Francine will use for 1 cup of orange juice, we will  apply the following expression;

2/3 cup of pineapple juice = 1/3 cups of orange juice

1 cup of pineapple juice = x cups of orange juice

Cross multiply

$\frac{2}{3}\times x = 1 \times \frac{1}{3}\\ \\\frac{2x}{3} = \frac{1}{3}\\ \\cross \ multiply\\2x \times 3 = 3$

divide both sides of the equation by 3

$\frac{2x \times 3}{3} =\frac{3}{3}\\ \\2x = 1$

divide both sides by 2

$\frac{2x}{2} = \frac{1}{2}\\ x = \frac{1}{2}$

Hence Francine uses $\frac{1}{2}$ number of cups of pineapple juice for 1 cup of orange juice.