Question

За 15 м ткани двух сортов заплатили 2840р. При этом 1 м ткани 1 сорта стоит 200р., а 2 сорта -- 180р. Сколько метров ткани каждого сорта куплено? помогите решить

Answer 1

Пусть количество метров ткани 1 сорта = x; второго = y, тогда получится система
x+y=15 и 200*x+180*y=2840
x=15-y и 200*(15-у)+180*у=2840
____________________________
3000-20*у=2840
20*у=160
у=8
____________________________
х=15-8
х=7
ОТВЕТ: 7 метров ткани первого сорта и 8 метров ткани второго сорта было куплено в магазине.

Answer 2

Solution:

To solve this problem, we can use a system of equations to represent the given information and then solve for the unknown quantities.

Let's denote: - x as the number of meters of the 1st type of fabric. - y as the number of meters of the 2nd type of fabric.

We are given the following information: 1. The total cost for 15 meters of fabric is 2840 rubles. 2. The cost of 1 meter of the 1st type of fabric is 200 rubles, and the cost of 1 meter of the 2nd type of fabric is 180 rubles.

We can express this information as the following system of equations: 1. x + y = 15 (total meters of fabric) 2. 200x + 180y = 2840 (total cost of the fabric)

Now, let's solve the system of equations to find the values of x and y.

Solving the System of Equations:

We can use the substitution method to solve the system of equations.

From the first equation, we can express x as x = 15 - y.

Substituting this expression for x into the second equation: 200(15 - y) + 180y = 2840

Expanding and simplifying: 3000 - 200y + 180y = 2840 3000 - 20y = 2840 -20y = 2840 - 3000 -20y = -160 y = -160 / -20 y = 8

Now that we have found the value of y, we can find the value of x using the first equation: x = 15 - y x = 15 - 8 x = 7

Answer:

So, 7 meters of the 1st type of fabric and 8 meters of the 2nd type of fabric were purchased to meet the given conditions.