Question

В магазине было два куска ткани. Цена ткани первого куска 250 руб. за метр, второго - 300 руб. за метр. Сколько метров ткани было в каждом куске , если вместе в них было 100 метров и стоили они 27000 руб.? Решение без иксов пожалуйста!

Answer 1

Без иксов никак.))
Ткань первого куска (количество) - k, ткань второго куска (количество) - y. 
Составим уравнение:
k*250+y*300=27000
k+y=100
Это система.
$\left \{ {{k*250+y*300=27000} \atop {k+y=100}} \right. \\ k=100-y \\ \\ (100-y)*250+300y=27000 \\ 25000-250y+300y=27000 \\ 50y=2000 \\ y=40 \\ k=100-y=100-40=60$
Ответ: в первом куске было 60 метров, во втором куске 40 метров.

Answer 2

Solution:

Let's solve the problem step by step.

1. Define the variables: - Let's denote the number of meters of the first piece of fabric as x. - The number of meters of the second piece of fabric will be 100 - x (as together they were 100 meters).

2. Calculate the total cost: - The total cost of the first piece of fabric is 250x rubles. - The total cost of the second piece of fabric is 300(100 - x) rubles. - The sum of these two costs is equal to 27000 rubles.

3. Formulate the equation: - We can create an equation based on the total cost: - 250x + 300(100 - x) = 27000

4. Solve for x: - Let's solve the equation to find the value of x.

Calculation:

- 250x + 300(100 - x) = 27000 - 250x + 30000 - 300x = 27000 - -50x = -3000 - x = 60

Answer:

- The first piece of fabric was 60 meters long, and the second piece of fabric was 40 meters long.

So, the first piece of fabric was 60 meters long, and the second piece of fabric was 40 meters long.

[[8 #]]