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In a bowl of fruit there are green grapes and black grapes in the ratio 3:4.If there are 24 green grapes how many black grapes are there

User Halnex
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Final answer:

By setting up a proportion using the ratio 3:4 and the given number of green grapes, which is 24, we can calculate that there are 32 black grapes in the fruit bowl.

Step-by-step explanation:

The student's question involves the concept of ratios in mathematics. Given the ratio of green grapes to black grapes as 3:4 and the fact that there are 24 green grapes, we can determine the number of black grapes. Since green and black grapes have a ratio of 3:4, for every 3 green grapes, there are 4 black grapes. We can use this ratio to set up a proportion to solve for the number of black grapes.

To find the number of black grapes, we can use the equivalent fractions:

3 green grapes / 4 black grapes = 24 green grapes / x black grapes

Cross-multiply to solve for x:

3x = 4 × 24

x = (4 × 24) / 3

x = 32

Therefore, there are 32 black grapes.

User Rahn
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