Question

Букет роз в 3 раза дороже букета гвоздик. За букет роз заплатили на 50 руб. больше, чем за букет гвоздик. Сколько букетов роз можно купить на 70 руб.

Answer 1

Можно составить систему уравнкний. пусть х цена букета роз у цена букета гвоздик.

х=3у
х=50+у доставляем х во 2 уравнение получим


3у=50+у
2у=50
отсюда у = 25 столько стоиь букет гвоздик
х= 75 столькотбукет роз


за 70 руб можно купить 0 букетов роз

Answer 2

Problem Analysis

We are given that a bouquet of roses is three times more expensive than a bouquet of carnations. The price of the rose bouquet is 50 rubles more than the price of the carnation bouquet. We need to determine how many bouquets of roses can be purchased for 70 rubles.

Solution

Let's assume the price of the carnation bouquet is x rubles. According to the given information, the price of the rose bouquet is three times more expensive than the carnation bouquet, so the price of the rose bouquet is 3x rubles.

We are also given that the price of the rose bouquet is 50 rubles more than the price of the carnation bouquet. Therefore, we can set up the following equation:

3x = x + 50

Simplifying the equation, we have:

2x = 50

Dividing both sides of the equation by 2, we get:

x = 25

So, the price of the carnation bouquet is 25 rubles, and the price of the rose bouquet is 3 * 25 = 75 rubles.

Now, we need to determine how many bouquets of roses can be purchased for 70 rubles. To do this, we divide the total amount of money (70 rubles) by the price of one bouquet of roses (75 rubles):

70 / 75 = 0.9333...

Since we cannot purchase a fraction of a bouquet, we can conclude that it is not possible to buy any bouquets of roses with 70 rubles.

Answer

It is not possible to buy any bouquets of roses with 70 rubles.

Explanation

The given information states that the price of the rose bouquet is three times more expensive than the carnation bouquet and 50 rubles more expensive than the carnation bouquet. By setting up an equation and solving it, we find that the price of the carnation bouquet is 25 rubles and the price of the rose bouquet is 75 rubles. However, with only 70 rubles, it is not possible to buy any bouquets of roses.