Question

Решите задачу . в саду росли 138 роз,90 гвоздик,а лилий в 3 раза больше чем гвоздик. когда половину цветов увезли, в саду их осталось 270. сколько лилий было в саду?

Answer 1

Всего получается было 540
Лилий 270

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of lilies in the garden given the information provided. We know that there are 138 roses, 90 carnations, and the number of lilies is three times the number of carnations. Additionally, when half of the flowers were taken away, there were 270 flowers remaining in the garden.

Solution

Let's solve the problem step by step:

1. Let's assume the number of carnations is x. 2. Since the number of lilies is three times the number of carnations, the number of lilies is 3x. 3. The total number of flowers in the garden is the sum of roses, carnations, and lilies: 138 + 90 + 3x. 4. When half of the flowers were taken away, there were 270 flowers remaining. Therefore, the equation becomes: (138 + 90 + 3x) / 2 = 270.

Now, let's solve the equation to find the value of x and then calculate the number of lilies.

Calculation

We can solve the equation by following these steps:

1. Multiply both sides of the equation by 2 to eliminate the fraction: 138 + 90 + 3x = 540. 2. Combine like terms: 228 + 3x = 540. 3. Subtract 228 from both sides of the equation: 3x = 312. 4. Divide both sides of the equation by 3: x = 104.

Now that we have the value of x, which represents the number of carnations, we can calculate the number of lilies by multiplying x by 3: 3 * 104 = 312.

Answer

Therefore, there were 312 lilies in the garden.

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