Question

В двух шкафах было 1000 книг.Когда из одного шкафа взяли 147 книг,а из другого-49книг,то в обоих шкафах книг осталось поровну.Сколько книг осталось в каждом шкафу'шкафу?

Answer 1

17668 книг вм каждом шкафу

Answer 2

Solution:

Let's denote the number of books initially in the first cabinet as x and in the second cabinet as y. According to the given information, we have the following equations:

1. x + y = 1000 (Total number of books in both cabinets) 2. x - 147 = y + 49 (After taking 147 books from the first cabinet and 49 books from the second, the remaining books are equal)

We can solve these equations to find the values of x and y.

First, we can rewrite the second equation to express x in terms of y: x = y + 196

Now, we can substitute this expression for x into the first equation: (y + 196) + y = 1000 2y + 196 = 1000 2y = 1000 - 196 2y = 804 y = 402

Substitute the value of y back into the expression for x: x = 402 + 196 x = 598

So, there were 598 books in the first cabinet and 402 books in the second cabinet initially.

Answer:

Therefore, after taking 147 books from the first cabinet and 49 books from the second, there were 451 books left in each cabinet.