Question

В коробке синие,красные и зеленые карандаши-=всего 20 штук.Синих карандашей в 6 раз больше ,чем зеленых.Красных карандашей меньше,чем синих.Сколько карандашей в коробке?

Answer 1

 синих 11  красны 4 зеленых5

Answer 2

Problem Analysis

We are given that there are three colors of pencils in a box: blue, red, and green. The total number of pencils is 20. It is also mentioned that there are six times more blue pencils than green pencils, and there are fewer red pencils than blue pencils. We need to determine the total number of pencils in the box.

Solution

Let's assume the number of green pencils is x. According to the given information, the number of blue pencils is six times more than the number of green pencils, so the number of blue pencils is 6x. Additionally, the number of red pencils is fewer than the number of blue pencils.

We can set up the following equation to represent the total number of pencils in the box:

x + 6x + (less than 6x) = 20

Simplifying the equation, we get:

7x + (less than 6x) = 20

Since the total number of pencils cannot be fractional, we need to find a whole number solution for x that satisfies the equation.

Let's consider the possible values of x and calculate the corresponding number of blue pencils:

- If x = 1, then the number of blue pencils is 6. - If x = 2, then the number of blue pencils is 12. - If x = 3, then the number of blue pencils is 18.

Since the total number of pencils is 20, none of the above values of x satisfy the equation. Therefore, there is no whole number solution that satisfies the given conditions.

Conclusion

Based on the given information, there is no solution that satisfies the condition of having a total of 20 pencils in the box.