Ratio question

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 25
Joined: Mon Jul 29, 2013 10:17 am

Ratio question

by topspin20 » Tue Jul 30, 2013 2:18 pm
A certain bookstore sells paperback and hardcover books. The ratio of paperbacks to hardcovers in stock is 3:2. How many paperbacks and hardcovers are in stock?

1) 1/3 of the paperbacks in stock are non-fiction.

2) There are 20 more paperbacks than hardcovers in stock.

Master | Next Rank: 500 Posts
Posts: 145
Joined: Fri Jan 18, 2013 8:27 am
Thanked: 7 times

by sparkles3144 » Tue Jul 30, 2013 2:31 pm
paperback : hardcover = 3:2
How many paperbacks and hardcovers are in stock?

1) 1/3 of the paperbacks in stock are non-fiction.
This information is not relavant. This will lead us to nowhere. A is insufficient.


2) There are 20 more paperbacks than hardcovers in stock.
paperbacks = 20+ hardcovers
P = 20 + H

P/H = 3:2
P = 20 + H
(20 + H)/H = 3/2

H = 40
P = 60
P/H = 60/40 = 3/2

B is sufficient