The cost of Brand V paper is proportional to the weight

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Tue Jan 09, 2018 11:50 pm

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

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Source: Beat The GMAT — Problem Solving | Tue Jan 09, 2018 11:50 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

by Jay@ManhattanReview » Wed Jan 10, 2018 12:53 am

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

We are given that the cost of Brand V paper is proportional to the weight.

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
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Manhattan Review GMAT Prep

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Wed Jan 10, 2018 6:46 am

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

Since cost is PROPORTIONAL to weight, we can use EQUIVALENT RATIOS

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

Brent Hanneson - Creator of GMATPrepNow.com

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GMATWisdom: Master | Next Rank: 500 Posts; Posts: 100; Joined: Wed Nov 29, 2017 4:38 pm; Thanked: 14 times

by GMATWisdom » Wed Jan 10, 2018 7:52 am

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

cost of 18 ounces paper is $3.06 therefore cost of 6 ounces paper would be 1/3 of $3.06=1.02.
therefore cost of 24 ounces paper = cost 18ounces+cost of 6ounces=3.06+1.02=$4.08
hence option A.
simple.

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