The cost of Brand V paper is proportional to the weight. If 18 ounces of Brand V paper cost $ 3.06, what is the cost of 24 ounces of Brand V paper?
A. $4.08
B. $5.58
C. $6.12
D. $7.31
E. $7.59
Can some experts show me the simplest way to solve this problem?
OA A
The cost of Brand V paper is proportional to the weight
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
We are given that the cost of Brand V paper is proportional to the weight.lheiannie07 wrote:The cost of Brand V paper is proportional to the weight. If 18 ounces of Brand V paper cost $ 3.06, what is the cost of 24 ounces of Brand V paper?
A. $4.08
B. $5.58
C. $6.12
D. $7.31
E. $7.59
Can some experts show me the simplest way to solve this problem?
OA A
It means that if the weight of the paper doubles, its cost doubles; if the weight increases by 50%, its cost increases by 50%, and so on.
The given data is for the weight 18 ounces and we are asked to determine the cost of 24-ounce paper. We see that the weight of the 24-ounce paper is (24/18)*100% = (400/3)% of the 18-ounce paper. Thus, the cost of the 24-ounce paper would also be (400/3)% of the 18-ounce paper.
The cost of the 24-ounce paper = (400/3)% of the 18-ounce paper
The cost of the 24-ounce paper = (400/3)% * 3.06 = (400*1.02)/100 = $4.08.
The correct answer: A
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: Beijing | Copenhagen | Oslo | Lisbon | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Since cost is PROPORTIONAL to weight, we can use EQUIVALENT RATIOSlheiannie07 wrote:The cost of Brand V paper is proportional to the weight. If 18 ounces of Brand V paper cost $ 3.06, what is the cost of 24 ounces of Brand V paper?
A. $4.08
B. $5.58
C. $6.12
D. $7.31
E. $7.59
We'll compare cost/weight
Let x = the cost of 24 ounces of paper
So, we get: 3.06/18 = x/24
Cross multiply to get: (18)(x) = (24)(3.06)
Divide both sides by 18 to get: x = (24)(3.06)/18
ASIDE: From here, we can use estimation to find the value of x.
Notice that (24)(3.06) is a little bit bigger than (24)(3)
So, (24)(3.06) = a little bit bigger than 72, which we can denote as 72+
We get: (24)(3.06)/18 = 72+/18
= 4+ (a number a little bit bigger than 4)
Answer: A
Cheers,
Brent
-
- Master | Next Rank: 500 Posts
- Posts: 100
- Joined: Wed Nov 29, 2017 4:38 pm
- Thanked: 14 times
cost of 18 ounces paper is $3.06 therefore cost of 6 ounces paper would be 1/3 of $3.06=1.02.lheiannie07 wrote:The cost of Brand V paper is proportional to the weight. If 18 ounces of Brand V paper cost $ 3.06, what is the cost of 24 ounces of Brand V paper?
A. $4.08
B. $5.58
C. $6.12
D. $7.31
E. $7.59
Can some experts show me the simplest way to solve this problem?
OA A
therefore cost of 24 ounces paper = cost 18ounces+cost of 6ounces=3.06+1.02=$4.08
hence option A.
simple.