SOLUTION: May you please help me solve this problem: "A bookshelf contains three types of books: novels, biographies, and mysteries. There are three more than twice as many novels as biograp

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Question 128737: May you please help me solve this problem: "A bookshelf contains three types of books: novels, biographies, and mysteries. There are three more than twice as many novels as biographies. There is one less than three times as many mysteries as novels. If there are 25 novels, what is the fraction of the books are biographies?" I tried making a chart but I can't figure out how many books there are for each category.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Number of novels: n
Number of biographies: b
Number of mysteries: m

Givens:
n+=+25
n=2b%2B3, if there were twice as many novels as biographies, then n+=+2b, but there are three more than that so n=2b%2B3
m=3n-1, similar logic

We can substitute 25 for n directly, so:

25=2b%2B3 and m=3%2825%29-1

m=3%2825%29-1
m=74

25=2b%2B3
22=2b
b=11

So, we have a total of 25+%2B+11+%2B+74+=+110 books

11%2F110=1%2F10 are biographies.