
У учителя на столе в коробке 80 цветных карандашей -красного,синего,желтого и зеленого
цвета.Красных и синих -7 штук,желтых на 4 меньше чем синих и красных вместе ,а зеленых на 15 больше чем красных.Сколько карандашей каждого цвета в коробке? Все по действиям

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Problem Analysis
We are given a box containing 80 colored pencils of four different colors: red, blue, yellow, and green. We are also given the following information: - There are 7 red and blue pencils combined. - The number of yellow pencils is 4 less than the number of red and blue pencils combined. - The number of green pencils is 15 more than the number of red pencils.We need to determine the number of pencils for each color in the box.
Solution
Let's solve this problem step by step.1. Let's assume the number of red pencils is R, the number of blue pencils is B, the number of yellow pencils is Y, and the number of green pencils is G.
2. From the given information, we know that: - R + B = 7 (The number of red and blue pencils combined is 7). - Y = R + B - 4 (The number of yellow pencils is 4 less than the number of red and blue pencils combined). - G = R + 15 (The number of green pencils is 15 more than the number of red pencils).
3. We can rewrite the first equation as B = 7 - R.
4. Substituting the values of B and G in terms of R into the second equation, we get: - Y = R + (7 - R) - 4 - Simplifying, we have Y = 3 - R.
5. Substituting the values of G and R into the third equation, we get: - G = R + 15.
6. Now we have three equations: - B = 7 - R - Y = 3 - R - G = R + 15
7. We can substitute the values of B, Y, and G into the equation R + B + Y + G = 80 to solve for R.
8. Substituting the values, we have: - R + (7 - R) + (3 - R) + (R + 15) = 80 - Simplifying, we get 26 = 80.
9. This equation is not possible, which means there is no solution that satisfies all the given conditions. There might be an error in the given information or the problem statement.
Therefore, we cannot determine the number of pencils for each color in the box based on the given information.
If you have any further questions, please, let me know.


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