Question

Срочно! Это тест. Таня купила кисти, краски и мольберт. Кисти стоили 300 руб, краски стоили в k раз больше, чем кисти, а мольберт - в 1/2k (Одна вторая k) раз больше, чем краски. Всего Таня заплатила 7500 руб. Сколько стоили краски и сколько стоил мольберт?

Answer 1

Если кисти стоили 300
Тогда краски стоили 300*к
          мольберт  300*к* к/2=150*к^2
Всё вместе стоит
300+300к+150к^2=7500
150k^2 + 300k -7200 = 0
k^2 +  2k - 48 = 0
k1=6        k2=-8
-8 не подходит, так как цена это положительное число.
Ответ: Кисти стоили 300 руб
Краски стоили 300*6=1800 руб
Мольберт стоил 1800*6/2=1800*3=5400руб

Answer 2

Problem Analysis

To solve this problem, we need to determine the cost of the paints and the cost of the easel based on the given information. We are given that the brushes cost 300 rubles, the paints cost k times more than the brushes, and the easel costs 1/2k times more than the paints. The total amount paid by Tanya is 7500 rubles.

Solution

Let's break down the problem step by step to find the cost of the paints and the easel.

1. Let's assume the cost of the brushes is x rubles. According to the problem, the brushes cost 300 rubles. 2. The cost of the paints is k times more than the brushes. So, the cost of the paints is k * x rubles. 3. The easel costs 1/2k times more than the paints. So, the cost of the easel is (1/2k) * (k * x) rubles, which simplifies to (1/2) * x rubles. 4. The total amount paid by Tanya is 7500 rubles. 5. We can set up the equation: x + k * x + (1/2) * x = 7500. 6. Simplifying the equation, we get: (2 + 2k + 1) * x / 2 = 7500. 7. Combining like terms, we have: (2k + 3) * x / 2 = 7500. 8. Multiplying both sides of the equation by 2 / (2k + 3), we get: x = (7500 * 2) / (2k + 3).

Now, we can calculate the cost of the paints and the easel using the value of x.

Calculation

Let's calculate the cost of the paints and the easel using the formula derived above.

The cost of the paints is k * x rubles, which simplifies to k * [(7500 * 2) / (2k + 3)] rubles.

The cost of the easel is (1/2) * x rubles, which simplifies to (1/2) * [(7500 * 2) / (2k + 3)] rubles.

Answer

Based on the calculations, the cost of the paints is k * [(7500 * 2) / (2k + 3)] rubles, and the cost of the easel is (1/2) * [(7500 * 2) / (2k + 3)] rubles.

Please note that the exact values of k and the costs of the paints and the easel cannot be determined without the value of k.