Question

В первом букете было в 4 раза меньше роз ,чем во втором .Когда к первому букету добавили 15 роз ,а ко второму 3 розы, то в обоих букетах роз стало поровну.Сколько роз было в каждом букете первоначально?

Answer 1

Пусть х - кол-во роз в первом о втором букете. Тогда 4х -кол-во роз в первом букете.
К первому букету добавили 15 роз - это х+15;
Ко второму добавили 3 розы - это 4х+3; в букетах стало поровну цветов.

Составим уравнение:
х+15=4х+3
4х-х=15-3
3х=12 |:3
х=4 - в первом букете.

4*4=16 - во втором букете.

Ответ: 4 розы в первом букете, 16 роз во втором букете.

Answer 2

Problem Analysis

We are given two bouquets of roses, and it is stated that the first bouquet has 4 times fewer roses than the second bouquet. After adding 15 roses to the first bouquet and 3 roses to the second bouquet, the number of roses in both bouquets becomes equal. We need to determine the initial number of roses in each bouquet.

Solution

Let's assume the initial number of roses in the first bouquet is x. According to the problem statement, the second bouquet has 4 times more roses than the first bouquet, so the initial number of roses in the second bouquet is 4x.

After adding 15 roses to the first bouquet, the total number of roses becomes x + 15. Similarly, after adding 3 roses to the second bouquet, the total number of roses becomes 4x + 3.

According to the problem, the total number of roses in both bouquets is now equal. Therefore, we can set up the following equation:

x + 15 = 4x + 3

Now, let's solve this equation to find the value of x.

x + 15 = 4x + 3

15 - 3 = 4x - x

12 = 3x

x = 4

So, the initial number of roses in the first bouquet was 4, and the initial number of roses in the second bouquet was 4 * 4 = 16.

Therefore, there were 4 roses in the first bouquet initially, and 16 roses in the second bouquet initially.

Answer

The initial number of roses in the first bouquet was 4, and the initial number of roses in the second bouquet was 16.