Multiple choice

A measuring cup contains 1/5 of a cup of orange juice. It is then filled to the 1 cup mark with a mixture that contains equal amounts of orange, grapefruit, and pineapple juices. What fraction of the final mixture is orange juice?

  1. 1/15

  2. 4/15

  3. 7/15

  4. 11/15
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial juice = 1/5 cup. Added mixture = 4/5 cup. The mixture contains equal parts of 3 juices, so orange juice in the added part = 1/3 * 4/5 = 4/15. Total orange juice = 1/5 + 4/15 = 3/15 + 4/15 = 7/15.

AI explanation

By the method of fractions and proportions, the added 4/5 cup contains 1/3 orange juice, which is 4/15 of a cup. Adding the initial 1/5 (or 3/15) cup of orange juice to the 4/15 cup from the mixture gives a total of 7/15 of a cup. The final mixture is 7/15 orange juice.

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