Last summer, Kimi read 2,912 pages. Every book she read was either a mystery or a funny book. She read 3 times as many pages of mysteries as pages of funny books.How many pages of mysteries did Kimi read last summer?
Question
Last summer, Kimi read 2,912 pages. Every book she read was either a mystery or a funny book. She read 3 times as many pages of mysteries as pages of funny books.How many pages of mysteries did Kimi read last summer?
Solution
Let's denote the number of pages of funny books that Kimi read as F. According to the problem, she read 3 times as many pages of mysteries, so we can denote the number of pages of mysteries as 3F.
The total number of pages Kimi read is the sum of the pages of funny books and mysteries, which is F + 3F = 2,912 pages.
Combining like terms, we get 4F = 2,912.
To find the value of F (the number of pages of funny books), we divide both sides of the equation by 4:
F = 2,912 / 4 = 728 pages.
So, Kimi read 728 pages of funny books.
But the question asks for the number of pages of mysteries that Kimi read. As we established earlier, this is 3F, or 3 * 728 = 2,184 pages.
So, Kimi read 2,184 pages of mysteries last summer.
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