The number of books Miko has is 1/6 the number of books James has. What is the ratio of James' books to the total books?
Question
The number of books Miko has is 1/6 the number of books James has. What is the ratio of James' books to the total books?
Solution
Sure, let's break it down:
Step 1: Let's denote the number of books James has as J and the number of books Miko has as M. According to the problem, M = J/6.
Step 2: The total number of books is the sum of the books James and Miko have, which is J + M.
Step 3: Substitute M = J/6 into the equation from step 2 to get the total number of books in terms of J. This gives us J + J/6 = 7J/6.
Step 4: The ratio of James' books to the total number of books is then J / (7J/6) = 6/7.
So, the ratio of the number of books James has to the total number of books they both have is 6:7.
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