Question

Валентин подарил Валентине розы и орхидеи, причом орхидеи было в 4 раза меньше, чем роз. Сколько роз подарил Валентин, если известно, что их было на 51 больше, чем орхидей?

Answer 1

х - орхидеи

4х - розы

4х-х=51

3х=51

х=51/3

х=17 - орхидеи

4*17=68 - роз подарил Валентин

Answer 2

Problem Analysis

We are given the following information: - Valentin gave Valentina roses and orchids. - The number of orchids was 4 times less than the number of roses. - The total number of roses was 51 more than the number of orchids.

We need to determine the number of roses Valentin gave Valentina.

Solution

Let's assume the number of orchids Valentin gave Valentina is x. According to the given information, the number of roses Valentin gave Valentina is 4x.

We also know that the total number of roses was 51 more than the number of orchids. So, we can set up the following equation:

4x + 51 = x

Simplifying the equation:

3x = 51

Dividing both sides of the equation by 3:

x = 17

Therefore, Valentin gave Valentina 17 orchids and 4 * 17 = 68 roses.

Answer

Valentin gave Valentina 68 roses.

Explanation

Valentin gave Valentina 4 times more roses than orchids. Since the number of orchids was 17, the number of roses would be 4 times that, which is 68.