Of the books in a library, 1/3 came from Robbie's collection and 15 came from from Marta's. Of the rest 15 were Elena's, 1/5 were Winfield's, and 5 were purchased from the bookstore. How many books are there in the library?

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Let's break down the given information and solve the problem step-by-step.

1. We know that 1/3 of the books in the library came from Robbie's collection.
2. We also know that 15 books came from Marta's collection.
3. Of the remaining books, 15 were Elena's and 1/5 were Winfield's.
4. Additionally, 5 books were purchased from the bookstore.

To find the total number of books in the library, we need to add up all these quantities.

Step 1: Calculate the number of books in Robbie's collection.
If 1/3 of the books in the library came from Robbie's collection, and the number of books from Marta's collection is 15, then Robbie's collection must be three times that amount: 15 x 3 = 45 books.

Step 2: Calculate the number of books in Winfield's collection.
If 1/5 of the remaining books are from Winfield's collection, then the total number of books in the library can be represented as 5 times that amount: 15 x 5 = 75 books.

Step 3: Calculate the number of books purchased from the bookstore.
Given that 5 books were purchased from the bookstore, we add this quantity to the total: 75 + 5 = 80 books.

Step 4: Calculate the total number of books in the library.
To get the final answer, we add up the books from Robbie's collection, Marta's collection, Elena's collection, Winfield's collection, and the books purchased from the bookstore: 45 + 15 + 15 + 80 = 155 books.

There are 155 books in the library.

To solve this problem, let's break it down step by step.

First, we know that 1/3 of the books in the library came from Robbie's collection. Let's represent the total number of books in Robbie's collection as "x". Therefore, the number of books in the library from Robbie's collection is (1/3) * x.

Next, we know that 15 books came from Marta's collection. So, let's add 15 to the number of books in the library from Robbie's collection.

Now, we know that there are 15 books that belong to Elena. Let's add this to the current total.

Moving on, we know that 1/5 of the books in the library came from Winfield's collection. Let's represent the total number of books in Winfield's collection as "y". Therefore, the number of books in the library from Winfield's collection is (1/5) * y.

Lastly, we know that 5 books were purchased from the bookstore. Let's add this to the current total.

To find the total number of books in the library, we need to sum up all these quantities:

(1/3) * x + 15 + 15 + (1/5) * y + 5 = Total number of books in the library

Unfortunately, we don't have enough information to directly calculate the total number of books because we don't know the values of x and y.