Question

У трьох вагонах 840 т вугілля. скільки т вугілля в кожному вагоні окремо ,якщо у першому і в другому разом 650 т. , а в другому та третьому 360? допоможіть будь ласка =)

Answer 1

А - перший вагон
b - якої вагон
с - третій вагон

a+b+c=840
a+b=650 
b+c=360 

a+b+c=840
a+360=840
a=840-360
a=480

a+b=650
480+b=650
b=650-480
b=170

b+c=360 
170+c=360
c=360-170
c=190

Перевірка:
a+b+c=840
a=480
b=170
c=190
480+170+190=840
840 = 840 
Все вірно

Відповідь:
перший вагон = 480
якої вагон = 170
третій вагон = 190

Answer 2

Calculating the Amount of Coal in Each Wagon

To calculate the amount of coal in each wagon, we can use a system of equations to represent the given information.

Let's denote the amount of coal in the first wagon as x tons, in the second wagon as y tons, and in the third wagon as z tons.

We are given the following information: 1. In the first and second wagons together, there are 650 tons of coal. 2. In the second and third wagons together, there are 360 tons of coal. 3. The total amount of coal in all three wagons is 840 tons.

Using this information, we can set up the following system of equations:

1. x + y = 650 2. y + z = 360 3. x + y + z = 840

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

Solving the System of Equations

We can solve the system of equations using the method of substitution or elimination. Let's use the method of substitution to solve for the values of x, y, and z.

From equation 1, we can express x in terms of y: x = 650 - y

Substitute this expression for x into equations 2 and 3: 1. (650 - y) + y + z = 840 2. y + z = 360

Simplify equation 1: 650 + z = 840

Substitute the value of z from equation 2 into the simplified equation: y + (360 - y) = 840 360 + z = 840

Solve for y: 360 + z = 840 z = 840 - 360 z = 480

Now that we have the value of z, we can find the value of y: y + 480 = 360 y = 360 - 480 y = -120

This result indicates that there might be an error in the given information, as the value of y is negative. Please double-check the provided values for accuracy.