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A home owner must pick between paint A, which costs $6.00 [#permalink] ### Show Tags 17 Aug 2009, 14:08 2 This post received KUDOS 00:00 Difficulty: (N/A) Question Stats: 50% (00:00) correct 50% (01:51) wrong based on 7 sessions ### HideShow timer Statistics A home owner must pick between paint A, which costs$6.00 per liter, and paint B, which costs $4.50 per liter.Paint B takes one third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of$36 per hour, which of the two paints will be cheaper to apply???

1> The ratio of the area covered by one liter of paint A to the area covered by one liter of paint B is 4:3.

2> Paint A will require 40 liters of paint and 100 hours of labor.

Kindly post a detailed and explained solution, and also the approach to crack.

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Re: Which paint is cheaper to apply [#permalink]

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17 Aug 2009, 15:22
[quote="gmac25"]A home owner must pick between paint A, which costs $6.00 per liter, and paint B, which costs$4.50 per liter.Paint B takes one third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply??? 1> The ratio of the area covered by one liter of paint A to the area covered by one liter of paint B is 4:3. 2> Paint A will require 40 liters of paint and 100 hours of labor. a,b is number of liters 6a+36t ..................4.5b+36*4/3t = 4.5b+48t am not sure if we can assume that the no of liters is directly proportional to the area covered but i am assuming so. a/b = 4/ 3 ie: 3a = 4b thus 6a = 8b the equation become 8b+36t as compared to 4.5b+48t.... i d say suff from b obviously insuff i d say A SVP Joined: 29 Aug 2007 Posts: 2492 Followers: 69 Kudos [?]: 746 [0], given: 19 Re: Which paint is cheaper to apply [#permalink] ### Show Tags 17 Aug 2009, 15:34 gmac25 wrote: A home owner must pick between paint A, which costs$6.00 per liter, and paint B, which costs $4.50 per liter. Paint B takes one third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of$36 per hour, which of the two paints will be cheaper to apply???

1> The ratio of the area covered by one liter of paint A to the area covered by one liter of paint B is 4:3.

2> Paint A will require 40 liters of paint and 100 hours of labor.

Kindly post a detailed and explained solution, and also the approach to crack.
If you like this question, consider for kudos!!!

1. One liter of paint A covers 4x square meter of area, whose cost = 6
One liter of paint B covers 3x square meter of area but to paint 4x square meter of area needs 1.3333 (4x/3x) liters of paint B. The cost of 1.3333 liters of paint B = 1.3333 x (4.5) = 6
Now it is suff since paint B costs more labor cost.

2. Statement 2 tells nothing details about the costs of each paints. NSF>

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Re: Which paint is cheaper to apply [#permalink]

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18 Aug 2009, 07:37
Even i marked A as answer, but kaplan math workbook solution suggests E as answer.

I think we cannot assume area covered to be directly proportional to liters of paint.
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Re: Which paint is cheaper to apply [#permalink]

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23 Apr 2011, 02:07

because we cannot say how much time does paint A takes
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Re: Which paint is cheaper to apply [#permalink]

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23 Apr 2011, 07:34
gmac25 wrote:

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08 Jan 2012, 06:00
Lets evaluate statement 2:

PAINT A

Cost of paint A ---> $$40*6=240$$

Cost of painter A --->$$100*36=3600$$

Total cost A ---> $$240+3600=3840$$

PAINT B

Since 100 hours of labor must be used for paint A, and paint B takes 1/3 longer to apply ---> $$100*4/3=400/3$$ hours to apply.

cost of painter B---->$$(400/3)*36=12*400=4800$$

Since (Total cost A) < (cost of painter B) ---> (Total cost A) < (Total cost B)

Therefore, despite the fact that we can't estimate how much we would have to pay for paint B, we can see statement 2 is sufficient.

Therefore the correct answer is D.
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