Question

Решить задачу, используя графический способ: В оранжерее растут розы, астры и тюльпаны. Из них 1/6 составляют розы, а 3/5 остатка – астры. Остальные 120 цветов – тюльпаны. Сколько всего цветов в оранжерее?

Answer 1

Ответ:

360 цветов

Пошаговое объяснение:

Пусть в оранжерее х цветов, тогда роз х/6,  а остаток составляет

х - х/6 = 5х\6 - это астры. Составим уравнение:

х = х/6 + 3/5*(5х/6) + 120

х - х/6 - х/2 = 120

6х - х - 3х = 720

2х=720

х=360

Про графический способ ничего не знаю, могу только уравнением.

Answer 2

Problem Analysis

We are given that in a greenhouse, there are roses, asters, and tulips. The roses make up 1/6 of the total flowers, and the remaining 3/5 of the flowers are asters. The rest of the flowers, which are not roses or asters, are tulips. We need to find the total number of flowers in the greenhouse.

Solution

Let's assume the total number of flowers in the greenhouse is represented by the variable x.

According to the problem, 1/6 of the flowers are roses. Therefore, the number of roses is (1/6) * x.

The remaining flowers, which are asters, make up 3/5 of the total. Therefore, the number of asters is (3/5) * x.

The rest of the flowers, which are tulips, can be calculated by subtracting the number of roses and asters from the total number of flowers: x - [(1/6) * x + (3/5) * x] = 120

Now we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

x - [(1/6) * x + (3/5) * x] = 120

Simplifying the equation:

x - [(1/6 + 3/5) * x] = 120

Finding a common denominator for 1/6 and 3/5:

x - [(5/30 + 18/30) * x] = 120

Simplifying the fractions:

x - [(23/30) * x] = 120

Multiplying both sides of the equation by 30 to eliminate the fraction:

30x - 23x = 120 * 30

7x = 3600

Dividing both sides of the equation by 7 to solve for x:

x = 3600 / 7

Calculating the value of x:

x ≈ 514.2857

Since the number of flowers cannot be a fraction, we can round the value of x to the nearest whole number:

x ≈ 514

Therefore, there are approximately 514 flowers in the greenhouse.

Answer

There are approximately 514 flowers in the greenhouse.