Posted by Peltier on Tuesday, March 19, 2013 at 10:24am.
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 onethird of these books are history books and onesixth are English books, what fraction of the books are science books?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
****please explain this problem to me because I'm sure to have similar ones like this on my real exam.
Thank you in advance

Arithmetic  stranger, Tuesday, March 19, 2013 at 10:46am
B1/2
Let no. of books be x
No. of history books equal x into 1/3 I.e.x/3
No. Of English books equal x into 1/3 I.e. x/6
Rest books = no. Of science books
=total books (history books+English books)
=×(×/3 +×/6)
=x(3x/6)
=xx/2
=x/2 books are of science of total books I.e. x
No of science book is 1/2 of total books

Arithmetic  Peltier, Tuesday, March 19, 2013 at 10:49am
Thank You

Arithmetic  Kiran, Monday, October 14, 2013 at 8:36pm
As per the probability rule
Total of all probability is 1
So,
P(History)+P( English)+P( Science) = 1
1/3 + 1/6 + P( Science) = 1
P( Science) = 1 (1/3 + 1/6) = 1  1/2
P( Science) = 1/2

Arithmetic  ReneSardinaJr, Friday, January 8, 2016 at 12:34am
1/3+1/6+ science = Find the LCM (lowest common Multiple).
the LCM for 1/3 is 2.
the LCM for 1/6 is 1.
Multiply both numerator and denominator, which gives you
2/6 + 1/6 = science
then add the 2 and 1
copy the 6 at the bottom which result 3/6 then simplify to lowest form which 1/2.
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