Question

Помогите решить задачу ! Эта задача на Цену количество и стоимость : 2художника купили 8 кисточек по одинаковой цене. Один заплатил за кисти 10 рублей а другой 30 р . Сколько кисточек купил каждый художник?Эта задача где рисуется табличка и она составная в 2действия

Answer 1

1 художник,10 руб., ? кист.
8 кисточек.
2 художник,30 руб. ? кист.

1) (10+30):8=5
2) 30:5=6
Ответ: у 1 художника 2 кисточки, а у 2 художника 6.

Answer 2

Problem Analysis

The problem states that two artists bought 8 brushes at the same price. One artist paid 10 rubles per brush, while the other paid 30 rubles per brush. We need to determine how many brushes each artist bought.

Solution

Let's assume that the first artist bought x brushes and the second artist bought y brushes.

According to the problem, the total number of brushes bought by both artists is 8. Therefore, we can write the equation:

x + y = 8 (Equation 1)

The first artist paid 10 rubles per brush, so the total cost for the brushes bought by the first artist is 10x rubles.

The second artist paid 30 rubles per brush, so the total cost for the brushes bought by the second artist is 30y rubles.

The total cost for both artists is given as the sum of their individual costs, which is 10x + 30y rubles.

According to the problem, the total cost for both artists is unknown. Therefore, we cannot write an equation for the total cost.

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.

From Equation 1, we can rewrite it as:

x = 8 - y (Equation 2)

Substituting Equation 2 into the equation for the total cost:

10(8 - y) + 30y = Total Cost

Simplifying the equation:

80 - 10y + 30y = Total Cost

20y = Total Cost - 80

y = (Total Cost - 80) / 20 (Equation 3)

Now, we can substitute the value of y from Equation 3 into Equation 2 to find the value of x:

x = 8 - y

x = 8 - [(Total Cost - 80) / 20]

Simplifying the equation:

x = (160 - Total Cost) / 20 (Equation 4)

To find the values of x and y, we need to know the total cost. Unfortunately, the problem does not provide the total cost. Therefore, we cannot determine the exact number of brushes bought by each artist without this information.

If you have any additional information or if there is a mistake in the problem statement, please let me know so that I can assist you further.