Question

Каждому выпускнику школы решили подарить по одинаковому букету цветов.Для этого купили 114 гвоздик.Когда в каждый букет добавили еще по 2 гвоздики,то в нём оказалось 5 цветков.Сколько выпускников было в школе?

Answer 1

Изначально в букете было по 5-2 = 3 гвоздики. Значит, число букетов было 114:3 = 38. Это и есть число выпускников.

Ответ: в школе было 38 выпускников.

Answer 2

Problem Analysis

We are given that each graduate of a school is to receive an identical bouquet of flowers. The school has purchased 114 carnations. When 2 additional carnations are added to each bouquet, there are 5 flowers in each bouquet. We need to determine the number of graduates in the school.

Solution

Let's assume the number of graduates in the school is x.

We know that the school has purchased 114 carnations, and when 2 additional carnations are added to each bouquet, there are 5 flowers in each bouquet.

So, the total number of flowers in all the bouquets can be calculated as follows: 114 + 2x

And since each bouquet has 5 flowers, we can set up the following equation: 114 + 2x = 5x

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

Calculation

Let's solve the equation:

114 + 2x = 5x

Subtracting 2x from both sides: 114 = 5x - 2x

Combining like terms: 114 = 3x

Dividing both sides by 3: x = 114 / 3 x = 38

Answer

There were 38 graduates in the school.