There are 100 flowering plants present in an orchard. 37 plants bear red flowers, 53 plants bear blue flowers, and 43 plants bear yellow flowers. Moreover, 15 plants bear both red and blue flowers, 12 plants bear both blue and yellow flowers, while 13 plants bear both red and yellow flowers. If every flowering plant produces flowers of at least one colour among red, blue and yellow, then the number of plants which produce flowers of only red colour is
Question
There are 100 flowering plants present in an orchard. 37 plants bear red flowers, 53 plants bear blue flowers, and 43 plants bear yellow flowers. Moreover, 15 plants bear both red and blue flowers, 12 plants bear both blue and yellow flowers, while 13 plants bear both red and yellow flowers. If every flowering plant produces flowers of at least one colour among red, blue and yellow, then the number of plants which produce flowers of only red colour is
Solution
To find the number of plants which produce flowers of only red color, we need to subtract the number of plants that produce both red and another color from the total number of red flowering plants.
Here are the steps:
- Total number of red flowering plants = 37
- Number of plants that produce both red and blue flowers = 15
- Number of plants that produce both red and yellow flowers = 13
So, the number of plants which produce flowers of only red color = Total number of red flowering plants - Number of plants that produce both red and blue flowers - Number of plants that produce both red and yellow flowers
= 37 - 15 - 13 = 9
So, there are 9 plants which produce flowers of only red color.
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