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.

Step-by-step explanation:

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

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

We need to know the amount he will use for 1 cup of Orange juice, say;

x cup of pineapple = 1cup of Orange juice

Equating both

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

x cup of pineapple = 1cup of Orange juice

Cross multiply

1/2 × x = 1/3 × 1

x/2 = 1/3

3x = 2

x = 2/3

Hence he will need 2/3 cups of pineapple for 1 cup of Orange juice