搜搜做题作业网GMAT数学条件题,麻烦解释清楚点并列出算式.
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GMAT数学条件题,麻烦解释清楚点并列出算式.
A home owner must pick between paint A, which costs $6.00 per liter, and paint B, which cost $4.50 per liter. Paint B takes one-third longer to apply than paint A. If the homeowner 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 paint B is 4:3.
(2)Paint A will require 40 liters of paint and 100 hours of labor.
A home owner must pick between paint A, which costs $6.00 per liter, and paint B, which cost $4.50 per liter. Paint B takes one-third longer to apply than paint A. If the homeowner 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 paint B is 4:3.
(2)Paint A will require 40 liters of paint and 100 hours of labor.
Volume:
Let S the area need to paint,so in every liter:
A paint area of S/40
B paint area of (S/40)*(3/4)=3S/160:
The requirement volume of B is 160/3 L.
Time:
A cost 100H.
B cost (1+1/3)100 = 400/3 H
Using Paint A:
The cost of 40L A is 240.00
The cost of labor of 100H is 3600.00
Total cost 3840.00
Using Paint B:
The cost of 160/3 L B is 240.00
The cost of labor of 400/3H is 4800.00
Total cost 5040.00
Paint A is cheape
Let S the area need to paint,so in every liter:
A paint area of S/40
B paint area of (S/40)*(3/4)=3S/160:
The requirement volume of B is 160/3 L.
Time:
A cost 100H.
B cost (1+1/3)100 = 400/3 H
Using Paint A:
The cost of 40L A is 240.00
The cost of labor of 100H is 3600.00
Total cost 3840.00
Using Paint B:
The cost of 160/3 L B is 240.00
The cost of labor of 400/3H is 4800.00
Total cost 5040.00
Paint A is cheape