The ratio of oranges to grapes in the fruit salad is 5 cups to 6 cups. The ratio of grapes to apples is 3 cups to 7 cups. If there are 25 cups of oranges in the salad, how many cups of apples are there?

Question

Mathematics

Leslie Singleton

15 September, 13:26

The ratio of oranges to grapes in the fruit salad is 5 cups to 6 cups. The ratio of grapes to apples is 3 cups to 7 cups. If there are 25 cups of oranges in the salad, how many cups of apples are there?

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Answers (1)

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Tyrese Sherman · Answer 1

Answer: there are 70 cups of apples in the fruit salad.

Step-by-step explanation:

The ratio of oranges to grapes in the fruit salad is 5 cups to 6 cups. If the ratio of grapes to apples is 3 cups to 7 cups, it means that the ratio of oranges to apple in the fruit salad would be

5/6 * 3/7 = 5/14

Let x represent the number of cups of apples in the fruit salad. If there are 25 cups of oranges in the salad, it means that

25/x = 5/14

Cross multiplying, it becomes

x * 5 = 25 * 14

5x = 350

Dividing both sides by 5, it becomes

5x/5 = 350/5

x = 70