
Помогите пожалуйста!! Срочно, заранее спасибо!!. В 2 шкафах было 1000 книг.Когда из одного шкафа
взяли 147 книг,а из другого -49 книг,то в обоих шкафах стало поровну.Сколько книг осталось в каждом шкафу?

Ответы на вопрос

1000-196=804
804•2=402
ответ:402 книги стало в шкафу



Solving the Problem
To solve this problem, we can use a system of equations. Let's denote the initial number of books in the first cabinet as x and the initial number of books in the second cabinet as y. We are given that the total number of books in both cabinets is 1000, and after taking 147 books from the first cabinet and 49 books from the second cabinet, the remaining books in both cabinets are equal.
We can set up the following equations based on the given information:
1. x + y = 1000 (total number of books in both cabinets) 2. (x - 147) = (y - 49) (remaining books in both cabinets are equal)
Let's solve these equations to find the values of x and y.
Solution
Using the first equation, we can express y in terms of x: y = 1000 - xSubstituting this value of y into the second equation: (x - 147) = (1000 - x - 49)
Solving for x: x - 147 = 1000 - x - 49 2x = 1000 + 147 - 49 2x = 1098 x = 549
Now that we have the value of x, we can find the value of y: y = 1000 - x y = 1000 - 549 y = 451
Answer
So, after solving the equations, we find that there were 549 books in the first cabinet and 451 books in the second cabinet initially.Therefore, after taking 147 books from the first cabinet and 49 books from the second cabinet, there are 402 books left in the first cabinet and 402 books left in the second cabinet.
If you have any more questions or need further assistance, feel free to ask!


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