
Учень розставив книжки порівну на 8 полицях, а потім переставив їх теж порівну на 12 полицях.
Скільки книжок в учня, якщо їх більше за 93, але менше ніж 117? дам 30 баллів

Ответы на вопрос

Відповідь:
буде число 96
Покрокове пояснення:



To solve this problem, we can set up an equation to represent the given information. Let's assume the number of books the student initially had on each shelf is "x". According to the problem, the student then rearranged the books equally on 12 shelves. This means that the number of books on each shelf after rearranging is also "x".
We can set up the equation as follows:
8x = 12x
To solve for "x", we can divide both sides of the equation by 8:
8x/8 = 12x/8
Simplifying, we get:
x = (12/8)x
Now, we can solve for "x" by canceling out the "x" terms:
1 = 12/8
To simplify further, we can convert 12/8 to a decimal:
1 = 1.5
This means that the number of books the student initially had on each shelf is 1.5 times the number of books on each shelf after rearranging.
To find the total number of books the student has, we can multiply the number of books on each shelf after rearranging by the number of shelves:
Total number of books = 12 * x
Since we know that x = 1.5, we can substitute it into the equation:
Total number of books = 12 * 1.5
Calculating, we find:
Total number of books = 18
Therefore, the student has a total of 18 books.
Note: The above solution assumes that the number of books on each shelf is a whole number. If the number of books on each shelf is not a whole number, the solution may differ.


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