Question

В двух библиотеках было одинаковое количество книг. Через год в первой библиотеке число книг увеличилось на 50 процентов, а во второй - в 1,5 раза. В каой библиотеке книг стало больше?

Answer 1

Пусть в каждой из библиотек было по x книг, тогда в первой стало x+0,5x=1,5x, а во второй 1,5x, то есть в обоих библиотеках стало поровну книг

Answer 2

Solution:

To solve this problem, we'll first calculate the new number of books in each library after one year, and then compare the results to determine in which library the number of books increased more.

1. Initial Number of Books: - Let's assume the initial number of books in both libraries is 100 for simplicity.

2. Increase in the First Library: - The number of books in the first library increased by 50% after a year. - New number of books in the first library = Initial number of books + (50% of initial number of books).

3. Increase in the Second Library: - The number of books in the second library increased by 1.5 times after a year. - New number of books in the second library = Initial number of books * 1.5.

4. Comparison: - We'll compare the new number of books in both libraries to determine where the number of books increased more.

Calculation:

1. Initial Number of Books: - Let's assume the initial number of books in both libraries is 100 for simplicity.

2. Increase in the First Library: - New number of books in the first library = 100 + (50% of 100) = 100 + 50 = 150.

3. Increase in the Second Library: - New number of books in the second library = 100 * 1.5 = 150.

Conclusion:

After one year, the number of books in both libraries is the same, with each having 150 books. Therefore, the number of books in both libraries is the same after the increase.

This conclusion is based on the calculation and comparison of the new number of books in both libraries after the specified increases.