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NeTakaya
8 days ago
14

Of the books in a library, 1/3 came from Robbie's collection and 15 came from Marta's. Of the rest, 15 were Elena's 1/5 were Win

field's, and 5 were purchased from the bookstore. How many book are there in the library?
Mathematics
1 answer:
Inessa [3.9K]8 days ago
6 0
Library total: l
Robbie's share: r=(1/3)l
Martha's share: m=15
remaining books: l-r-m=e+w+b
Elena's share: e=15
Winfield's share: w=1/5(e+w+b)
bookstore purchases: b=5


w=(e+w+b)/5
w=(15+5+w)/5
w=4+w/5
(4/5)w=4
w=5

l-r-m=e+w+b
l-(1/3)l-15=15+5+5
(2/3)l=25+15
(2/3)l=40
l=60=total number of books
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