
в коробке лежат 20 разноцветных клубков ниток для пряжи: желтые, зеленые, красные и синие. из этих
клубков ровно 17 не зеленые, ровно 5 синие, а ровно 12 не красные. сколько клубков желтых ниток в коробке?

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Problem Analysis
In this problem, we are given a box containing 20 different colored yarn balls: yellow, green, red, and blue. We are also given some information about the colors of the yarn balls in the box. We need to determine the number of yellow yarn balls in the box.Given Information
- Total number of yarn balls in the box: 20 - Number of yarn balls that are not green: 17 - Number of yarn balls that are blue: 5 - Number of yarn balls that are not red: 12Solution
Let's break down the given information and solve the problem step by step.1. Number of yarn balls that are not green: 17 - This means that there are 17 yarn balls in the box that are either yellow, red, or blue. - We don't know the exact breakdown of these 17 yarn balls among the three colors.
2. Number of yarn balls that are blue: 5 - This means that out of the 17 yarn balls that are not green, 5 are blue. - Therefore, the remaining 17 - 5 = 12 yarn balls are either yellow or red.
3. Number of yarn balls that are not red: 12 - This means that out of the 17 yarn balls that are not green, 12 are not red. - Therefore, the remaining 17 - 12 = 5 yarn balls are red.
4. Number of yellow yarn balls in the box: - We know that out of the 17 yarn balls that are not green, 5 are blue and 12 are not red. - Therefore, the remaining yarn balls must be yellow. - So, the number of yellow yarn balls in the box is 17 - 5 - 12 = 0.
Answer
There are 0 yellow yarn balls in the box.Explanation
Based on the given information, there are 20 yarn balls in the box. Out of these, 17 are not green, 5 are blue, and 12 are not red. However, we don't have any information about the exact breakdown of these yarn balls among the colors yellow and red. Therefore, we cannot determine the number of yellow yarn balls in the box.

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