Question

Решите задачу пожалуйста!!!! Для вышивания приобрели мулине двух видов: по цене 5 рублей и 11 рублей 40 копеек за моток, всего 32 мотка. Сколько мотков того и другого вида было приобретено, если в среднем один моток стоил 9 рублей??? очень срочно!!!

Answer 1

По 5-х мотков, по 11,4руб-у мотков
(5х+11,4у)/32=9 и х+у=32
х=32-у
5*(32-у)+11,4у=9*32
160-5у+11,4у=288
6,4у=288-160
6,4у=128
у=20 - мотков по 11,4р
х=32-у=32-20=12 - мотков по 5р

Answer 2

Problem Analysis

To solve this problem, we need to find the number of threads of each type that were purchased, given the total number of threads and the average price per thread. Let's assume the number of threads of the first type is x, and the number of threads of the second type is y.

Solution

1. We know that the total number of threads is 32, so we can write the equation: x + y = 32.2. We also know that the average price per thread is 9 rubles. The total cost of the threads can be calculated by multiplying the number of threads of the first type (x) by the price of the first type (5 rubles) and adding it to the product of the number of threads of the second type (y) and the price of the second type (11 rubles 40 kopeks). This can be expressed as the equation: 5x + 11.40y = total cost.3. Since we know the average price per thread is 9 rubles, we can substitute this value into the equation: 5x + 11.40y = 9 * 32. 4. Simplifying the equation, we get: 5x + 11.40y = 288. 5. Now we have a system of two equations: - x + y = 32 - 5x + 11.40y = 288 6. We can solve this system of equations to find the values of x and y.

Let's solve the system of equations to find the values of x and y.

Solution Steps

1. Rearrange the first equation to express x in terms of y: x = 32 - y. 2. Substitute this expression for x in the second equation: 5(32 - y) + 11.40y = 288. 3. Simplify the equation: 160 - 5y + 11.40y = 288. 4. Combine like terms: 6.40y = 128. 5. Divide both sides of the equation by 6.40: y = 20. 6. Substitute this value of y back into the first equation to find x: x = 32 - 20 = 12.

Answer

Therefore, 12 threads of the first type and 20 threads of the second type were purchased.

Please let me know if you need any further assistance!