Question

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 Winfield's, and 5 were purchased from the bookstore. How many book are there in the library?

Answer 1

library amount: l
Robbie: r=(1/3)l
Martha: m=15
rest of books: l-r-m=e+w+b
Elena: e=15
Winfield: w=1/5(e+w+b)
bookstore: 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=amount of books

Answer 2

The total number of books in the library are 75.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

What will be the equation for given scenario?

Let the total number of books in the library be x.

The equation formed by using given information will be $\frac{x}{3} +15+15+\frac{x}{5}+ 5=x$

Collect the like terms,

$\frac{x}{3} +35+\frac{x}{5}=x$

On solving the equation for x we get x=75.

Therefore, the total number of books in the library are 75.

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