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17 Aug 2009, 15:08
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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> 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!!!
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17 Aug 2009, 16:22
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[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
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
17 Aug 2009, 16:34
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gmac25
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>
A is the answer.
