Question

СРОЧНО, ОЧЕНЬ. Мушкетёры хотели купить одинаковые шпаги. Но когда они подсчитали деньги, то оказалось, что Атосу не хватает половины цены шпаги, Портосу и Арамису — четверти каждому, Д`Артаньяну после продажи рыжей лошади не хватило всего лишь пятой части. Через неделю оказалось, что торговец сделал скидку на стоимость шпаг в 15 пистол(-ей, -я) для уважаемых мушкетеров, и они, сложив вместе все деньги, смогли купить шпаги для всех. Сколько стоила одна шпага? ​

Answer 1

Решение:

1) Пусть цена шпаги = х, тогда кол-во денег, которых не хватает мушкетерам:

Атос: 1/2х

Портос: 1/4х

Арамис: 1/4х

Д`Артаньян: 1/5х

2) Торговец готов уступить 15 пистоль, то есть кол-во денег, которых нехватает мушкетерам на покупку шпаги равна 15 пистоль.

Следовательно получается уравнение:

1/2х + 1/4х + 1/4х + 1/5х = 15

х • (1/2 + 1/4 + 1/4 + 1/5) = 15

х • 24/20 = 15

х = 15 : 24/20

х = 15 • 20 : 24

х = 12,5 - цена шпаги

Ответ: 12,5 пистоль стоит одна шпага.

Answer 2

The Cost of the Swords for the Musketeers

To determine the cost of one sword, let's break down the information provided:

- Athos is missing half the price of the sword. - Porthos and Aramis are each missing a quarter of the price. - D'Artagnan is missing only a fifth of the price after selling his red horse. - After a week, the merchant offered a discount of 15 pistols on the total cost of the swords for the respected Musketeers.

Let's calculate the cost of one sword step by step:

1. Let's assume the cost of one sword is x.

2. According to the information given, Athos is missing half the price of the sword. So, Athos has paid x/2.

3. Porthos and Aramis are each missing a quarter of the price. Therefore, each of them has paid x/4.

4. D'Artagnan is missing only a fifth of the price after selling his red horse. So, D'Artagnan has paid 4/5 of the price, which is 4x/5.

5. After a week, the merchant offered a discount of 15 pistols on the total cost of the swords for the Musketeers. This means that the total cost of the swords before the discount was 4x.

6. With the discount, the total cost of the swords becomes 4x - 15.

7. Since the Musketeers were able to buy the swords with the money they had, we can set up the following equation:

(x/2) + (x/4) + (x/4) + (4x/5) = 4x - 15

Now, let's solve the equation to find the value of x, which represents the cost of one sword.

Solving the Equation

To solve the equation, we can follow these steps:

1. Multiply the entire equation by the common denominator, which is 20, to eliminate the fractions:

10x + 5x + 5x + 16x = 80x - 300

2. Simplify the equation:

36x = 80x - 300

3. Move the terms with x to one side and the constant terms to the other side:

36x - 80x = -300

-44x = -300

4. Divide both sides of the equation by -44 to solve for x:

x = (-300) / (-44) = 6.82

Therefore, the cost of one sword is approximately 6.82.

Please note that the given information is a fictional scenario, and the calculations are based on the provided details.