Question

В трех цехах завода 270 станков. В первом цехе станков в 3 раза больше,чем в третьем, а ао втором на 20 станков больше,чем в третьем. Сколько станков в третьем цехе завода?

Answer 1

X+3x+20x=270
24x=270
x=11.25
11.25+3*11.25+20*11.25=270
11.25+33.75+225=270
11.25

Answer 2

Х - станки в 3 цехе
3х - станки в 1 цехе
х+20 - станки во 2 цехе
3х+х+20+х=270
5х=270-20
х=250/5
х=50 станков в 3 цехе

Answer 3

Calculating the Number of Machines in the Third Workshop

To find the number of machines in the third workshop, we can use the information provided about the number of machines in the first and second workshops.

Let's denote: - The number of machines in the first workshop as x - The number of machines in the third workshop as y - The number of machines in the second workshop as y + 20 (as it has 20 machines more than the third workshop)

Given that the number of machines in the first workshop is three times the number in the third workshop, we can express this as an equation:

x = 3y

We also know that the number of machines in the second workshop is 20 more than the number in the third workshop:

y + 20

Now, we can solve for the number of machines in the third workshop.

Calculating the Number of Machines in the Third Workshop

Using the information provided, we can solve for the number of machines in the third workshop.

Given: - The number of machines in the first workshop is 3 times the number in the third workshop. - The number of machines in the second workshop is 20 more than the number in the third workshop.

We can set up the following equations: 1. x = 3y (number of machines in the first workshop is three times the number in the third workshop) 2. y + 20 (number of machines in the second workshop is 20 more than the number in the third workshop)

Now, we can solve for the number of machines in the third workshop.

Solution

Using the equation x = 3y and the fact that the number of machines in the second workshop is 20 more than the number in the third workshop, we can solve for the number of machines in the third workshop.

Substituting the value of x from the first equation into the second equation: 3y + 20 = y

Solving for y: 3y - y = -20 2y = -20 y = -10

The number of machines in the third workshop is -10.

However, it's important to note that having a negative number of machines is not feasible in this context. It's possible that there may be a mistake in the given information or in the calculations. If you have additional information or if there might be a typo, please provide it so we can recalculate.