Question

a recipe that makes 6 servings calls for 1/3 cup of orange juice and 1/2 cup of lemonade. arlene modifies the recipe so that it can serve 9.

Answer 1

1/3 cup -> 6 servings
? cup -> 9 servings
Rule of three : 9 * (1/3) / 6 = 1/2 cup

Answer 2

Well first you have to find out what half of 1/3 is, then add it to 1/3. Then you have to find out what half of 1/2 is, then add it to 1/2.

Answer 3

1/2 Cups

Answer 4

Half of 1/3 is 1/6.

And half of 1/2 is 1/4.

1/3 + 1/6 = 1/2

1/2 + 1/4 = 3/4

So Arlene needs 1/2 cup of orange juice and 3/4 cup of lemonade.

Answer 5

Welcome to Open Study!

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Answer 6

6/(1/3) = 9/x -- (6 serv to 1/3 cup oj = 9 serv to x cup oj)
cross multiply
(6)(x) = (1/3)(9)
6x = 3
x = 1/2

she would need 1/2 cups of oj to make 9 servings

6/(1/2) = 9/x --(6 serv to 1/2 cup lem = 9 serv to x cups lem)
cross multiply
(6)(x) = (1/2)(9)
6x = 9/2
x = (9/2) / 6
x = 9/2 * 1/6
x = 9/12 which reduces to 3/4

she would need 3/4 cup of lemonade to make 9 servings