A restaurant makes a special citrus dressing for its salads. Here is how the ingredients are mixed: 1/2 of the mixture is oil, 1/6 of the mixture is vinegar, 1/4 of the mixture is orange juice, and 1/4 of the mixture is lemon juice. When the ingredients are mixed in the same ratio as shown above, every batch of dressing tastes the same. A new batch of dressing has 1 cup of oil. How much vinegar, orange juice, and lemon juice is needed for the dressing to taste the same?

Question

Erica Mora

Mathematics

28 March, 10:06

A restaurant makes a special citrus dressing for its salads. Here is how the ingredients are mixed: 1/2 of the mixture is oil, 1/6 of the mixture is vinegar, 1/4 of the mixture is orange juice, and 1/4 of the mixture is lemon juice. When the ingredients are mixed in the same ratio as shown above, every batch of dressing tastes the same. A new batch of dressing has 1 cup of oil. How much vinegar, orange juice, and lemon juice is needed for the dressing to taste the same?

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Answers (1)

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Leah Montgomery · Answer 1

1/2 cup of orange juice

1/2 cup of lemon juice

1/3 cup of vinegar

Step-by-step explanation:

Ingredients are mixed:

1/2 of the mixture is oil, 1/6 of the mixture is vinegar, 1/4 of the mixture is orange juice, 1/4 of the mixture is lemon juice.

A new batch of dressing has 1 cup of oil.

1/4 is twice smaller than 1/2, then it is needed

1/2 cup of orange juice, 1/2 cup of lemon juice.

1/6 is thrice smaller than 1/2, then it is needed

1/3 cup of vinegar