The ratio of Cheko's books to Miko's books is 5 : 12. Miko has 48 books. How many books must Miko give to Cheko so that both will have the same number of books?
Question
The ratio of Cheko's books to Miko's books is 5 : 12. Miko has 48 books. How many books must Miko give to Cheko so that both will have the same number of books?
Solution
Step 1: Determine the total number of books Miko has. According to the problem, Miko has 48 books.
Step 2: Determine the ratio of Cheko's books to Miko's books. According to the problem, the ratio is 5:12. This means that for every 12 books Miko has, Cheko has 5.
Step 3: Determine how many books Cheko has. Since the ratio is 5:12 and Miko has 48 books, we can set up the proportion 5/12 = x/48 to solve for x, which represents the number of books Cheko has. Cross-multiplying gives us 12x = 240, so x = 240/12 = 20. Therefore, Cheko has 20 books.
Step 4: Determine how many books Miko must give to Cheko so that both will have the same number of books. To do this, subtract the number of books Cheko has from the number of books Miko has: 48 - 20 = 28. Therefore, Miko must give 28 books to Cheko so that both will have the same number of books.
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