BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Price Per Ounce

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 158
Joined: Mon Nov 02, 2009 5:49 pm
Thanked: 2 times
Followed by:3 members

Price Per Ounce

by tonebeeze » Tue Mar 15, 2011 8:07 pm
The problem below is easy to solve intuitively, but can someone walk me thru the word translation into numbers/algebra. Thanks.


A certain brand of cocoa is sold in boxes of two sizes, A and B. For which size is the price per ounce of cocoa less?

1. The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.

2. The price of a size B box is 80 percent more than the price of a size A box.
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 1337
Joined: Sat Dec 27, 2008 6:29 pm
Thanked: 127 times
Followed by:10 members

by Night reader » Tue Mar 15, 2011 8:50 pm
Statement (1) does not tell us about price of cocoa, hence Not Sufficient;
Statement (2) tells us only the price of each box related each other, hence Not Sufficient;
Combined Statements (1 and 2): Weight B= 5/3 Weight A, Price B= 1.8 *Price A; Define ratios --> Weight B/Price B = Weight A/Price A; 1/1 {define signs: <, >, =} 5/3 : 18/10, 1/1 > 50/54 We can answer this question as 'the price per ounce of coca for size B is more than the price for that size A, Sufficient

IOM C

additional explanation: above, we are taking a whole (One) amount of size B Weight and size B price and comparing this with the same amount of size A Weight and with the size A's corresponding price (for the same amount).
tonebeeze wrote:The problem below is easy to solve intuitively, but can someone walk me thru the word translation into numbers/algebra. Thanks.


A certain brand of cocoa is sold in boxes of two sizes, A and B. For which size is the price per ounce of cocoa less?

1. The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.

2. The price of a size B box is 80 percent more than the price of a size A box.
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Mar 16, 2011 12:17 am
tonebeeze wrote:The problem below is easy to solve intuitively, but can someone walk me thru the word translation into numbers/algebra. Thanks.


A certain brand of cocoa is sold in boxes of two sizes, A and B. For which size is the price per ounce of cocoa less?

1. The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.

2. The price of a size B box is 80 percent more than the price of a size A box.
Statement 1: The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.
Weight B: Weight A = (5/3):1 = 5:3.
No information about price.
Insufficient.

Statement 2: The price of a size B box is 80 percent more than the price of a size A box.
Price B: Price A = (1.8):1 = 18:10 = 9:5.
No information about weight.
Insufficient.

Statements 1 and 2 combined:
Dividing the second ratio by the first ratio, we get:
Price B/Weight B = 9/5.
Price A/Weight A = 5/3.
Since 9/5 > 5/3, the price per ounce of A is less.
Sufficient.

The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1