Question

В саду росли 138 роз , 90 гвоздик, а лилий в 3 раза больше чем гладиолусов.Когда половину цветов увезли,в саду их осталось 270.Сколько лилий было в саду?

Answer 1

1)270*2=540 цветов всего было
2) 138+90=228 роз и гвоздик-было всего
3) 540-228=312 лилий и гладиолусов
4) 1+3=4 части- приходится на 312
5)312:4=78 гладиолусов
6)78*3=234 лилии

Answer 2

Problem Analysis

We are given the following information: - There were 138 roses in the garden. - There were 90 carnations in the garden. - The number of lilies was three times the number of gladioli. - When half of the flowers were taken away, there were 270 flowers left in the garden.

We need to determine the number of lilies in the garden.

Solution

Let's assume the number of gladioli in the garden is x. Since the number of lilies is three times the number of gladioli, the number of lilies can be represented as 3x.

According to the given information, the total number of flowers in the garden is the sum of the number of roses, carnations, lilies, and gladioli. We can write this as an equation:

138 (roses) + 90 (carnations) + 3x (lilies) + x (gladioli) = total number of flowers

When half of the flowers were taken away, there were 270 flowers left in the garden. This can be represented as:

(138 + 90 + 3x + x) / 2 = 270

We can solve this equation to find the value of x and then calculate the number of lilies.

Calculation

Let's solve the equation:

(138 + 90 + 3x + x) / 2 = 270

Simplifying the equation:

(228 + 4x) / 2 = 270

Multiplying both sides by 2:

228 + 4x = 540

Subtracting 228 from both sides:

4x = 312

Dividing both sides by 4:

x = 78

Now that we have the value of x, we can calculate the number of lilies:

Number of lilies = 3x = 3 * 78 = 234

Answer

There were 234 lilies in the garden.

Explanation

The number of lilies in the garden was three times the number of gladioli. When half of the flowers were taken away, there were 270 flowers left in the garden. By solving the given equation, we found that there were 234 lilies in the garden.