Question

На клумбе расцвели 18 красных,желтых и белых тюльпанов.Из них желтых тюльпанов было в 2 раза больше,чем белых,и в 3 раза меньше,чем красных.Сколько тюльпанов каждого цвета расцвело на клумбе.

Answer 1

Красных 18
Белых 3
Желтых 6

Answer 2

Solution:

Let's solve this problem step by step.

1. Let's denote the number of red tulips as R, yellow tulips as Y, and white tulips as W.

2. We are given the following information: - There are a total of 18 tulips. - The number of yellow tulips is 2 times the number of white tulips. - The number of yellow tulips is 3 times less than the number of red tulips.

3. We can express these relationships as equations: - R + Y + W = 18 (total number of tulips) - Y = 2W (number of yellow tulips is 2 times the number of white tulips) - Y = (1/3)R (number of yellow tulips is 3 times less than the number of red tulips)

4. Now, let's solve these equations to find the values of R, Y, and W.

From the equation Y = 2W, we can express W in terms of Y: W = Y/2.

Substituting this value of W into the equation R + Y + W = 18, we get: R + Y + Y/2 = 18 R + (3/2)Y = 18

From the equation Y = (1/3)R, we can express R in terms of Y: R = 3Y.

Substituting this value of R into the equation R + (3/2)Y = 18, we get: 3Y + (3/2)Y = 18 (9/2)Y = 18 Y = 4

Now that we have the value of Y, we can find the values of R and W: R = 3Y = 3*4 = 12 W = Y/2 = 4/2 = 2

Answer:

So, the number of tulips of each color that bloomed in the flowerbed is: - 12 red tulips - 4 yellow tulips - 2 white tulips