The cost of Brand V paper is proportional to the weight. If 18 ounces

Question

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

Archit3110 · Answer

cost per pounce ; 3.06/18 * 24 = 
4.08$
IMO A

CareerGeek · Answer

let the cost be  c  & weight be  w 
-->  c ∝ w 
-->  \frac{c_1}{c_2} = \frac{w_1}{w_2}

-->  \frac{3.06}{c_2} = \frac{18}{24} = \frac{3}{4} 
-->  c_2 = 3.06*\frac{4}{3} = 4.08

IMO Option A

BrentGMATPrepNow · Answer

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

ayushkumar22941 · Answer

cost of 1 band vis 3.06/18 and then cost of 24 band v is 24*(3.06/18) = 4.06

The cost of Brand V paper is proportional to the weight. If 18 ounces

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The cost of Brand V paper is proportional to the weight. If 18 ounces

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