Question

У учителя на столе в коробке 80 цветных карандашей - красного,синего,жёлтого и зеленого цветов. Красный и синий - 27 штук,жёлтых - на 4 меньше,чем красных и синих вместе,а зелёный - на 15 штук больше, чем красных. Сколько карандашей каждого цвета в коробке?

Answer 1

Пусть красных -х
с=27-х
з=х+15
ж=27-4=23 кар
х+27-х+23+х+15=80
х=15 каранд красных
з=30
с=12
ж=23

Answer 2

27-4=23-желтых
27+23=50- крас., син. и желтых вместе
80-50=30-осталось
30-15=15-красных
Значит зелен. и красн. поровну по 15 шт.

Answer 3

Problem Analysis

We are given a box containing 80 colored pencils of four different colors: red, blue, yellow, and green. The quantities of red and blue pencils are given as 27 each. The number of yellow pencils is 4 less than the combined quantity of red and blue pencils. The number of green pencils is 15 more than the quantity of red pencils.

We need to determine the number of pencils of each color in the box.

Solution

Let's assign variables to represent the quantities of each color pencil:

- Let R represent the number of red pencils. - Let B represent the number of blue pencils. - Let Y represent the number of yellow pencils. - Let G represent the number of green pencils.

Based on the given information, we can write the following equations:

1. R + B + Y + G = 80 (the total number of pencils in the box) 2. R = 27 (the number of red pencils) 3. B = 27 (the number of blue pencils) 4. Y = R + B - 4 (the number of yellow pencils is 4 less than the combined quantity of red and blue pencils) 5. G = R + 15 (the number of green pencils is 15 more than the quantity of red pencils)

We can solve this system of equations to find the values of R, B, Y, and G.

Solution Steps

1. Substitute the known values into equations 2, 3, and 5: - R = 27 - B = 27 - Y = 27 + 27 - 4 = 50 - G = 27 + 15 = 42

2. Substitute the values of R, B, Y, and G into equation 1 to verify if the total is 80: - 27 + 27 + 50 + 42 = 146

Since the total is not equal to 80, there might be an error in the given information or the problem statement. Please double-check the information provided.

If the information is correct, then there might be a mistake in the problem statement or the given quantities.

Conclusion

Based on the given information, it is not possible to determine the exact number of pencils of each color in the box. The total number of pencils does not match the given quantities. Please double-check the information provided or provide additional details to solve the problem accurately.