A box in a college bookstore contains books, and each book in the box is a history book, an English book or a science book. If 1/3 of these books are history books and 1/6 are English books, what fraction of the books are science books?

stuipthingasgwtk

stuipthingasgwtk

Answered question

2023-02-06

A box in a college bookstore contains books, and each book in the box is a history book, an English book or a science book. If 1/3 of these books are history books and 1/6 are English books, what fraction of the books are science books?

Answer & Explanation

Remington Lynch

Remington Lynch

Beginner2023-02-07Added 4 answers

Let's refer to the percentage of science books as: #s#
The three different book types' fractions must then add up to 1, or 100%.
As a result, we can write and find s:
s + 1 3 + 1 6 = 1
s + ( 2 2 × 1 3 ) + 1 6 = ( 6 6 × 1 )
s + 2 6 + 1 6 = 6 6
s + 2 + 1 6 = 6 6
s + 3 6 = 6 6
s + 3 6 - 3 6 = 6 6 - 3 6
s + 0 = 6 - 3 6
s = 3 6
s = 1 2
1 2 of the books are science books

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