Final answer:
To distribute the books equally, find the greatest common divisor (GCD) of the numbers of books for each subject. The GCD of 225, 360, and 400 is 45, which means 45 books per subject per box, resulting in 5 boxes for English, 8 for Science, and 9 for Mathematics after rounding up.
Step-by-step explanation:
The student has asked about the method to equally distribute a number of English, Science, and Mathematics books into boxes, such that each box contains the same number of each subject's books.
To solve this problem, we need to find the greatest common divisor (GCD) of the numbers of books for each subject, which are 225 English books, 360 Science books, and 400 Mathematics books. The GCD represents the largest number of books per subject that can be placed in each box so that the total books for each subject are equally distributed without any leftovers.
The GCD of 225, 360, and 400 is 45. This means each box will contain 45 books of each subject. To find the total number of boxes needed, we divide the total number of books of each subject by 45:
- English books: 225 ÷ 45 = 5 boxes
- Science books: 360 ÷ 45 = 8 boxes
- Mathematics books: 400 ÷ 45 = 8.89 boxes (round up to 9 boxes)
Since we cannot have a fraction of a box, we would need 9 boxes for the Mathematics books. Each box will contain 45 books of each subject, including 5 boxes of English books, 8 boxes of Science books, and 9 boxes of Mathematics books.