作业帮求问一条GMAT数学数据充分题.如果能解的话请列出式子.
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求问一条GMAT数学数据充分题.如果能解的话请列出式子.
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.
根据条件1,假设墙体面积为1,刷每literA的时间为n,则：刷这面墙,需1/4literA或1/3literB
若选用A,cost=6x(1/4)+(1/4)nx36=1.5+9n
若选用B,cost=4.5x(1/3)+(1/3)x(4/3)nx36=1.5+16n
明显costB>costA,选用A.
条件2不知道两者每liter能刷多大面积的墙,所以不充分.
综上所述,最终答案选择A,statement(1) alone is sufficient,but statement(2) alone is not sufficient.
若选用A,cost=6x(1/4)+(1/4)nx36=1.5+9n
若选用B,cost=4.5x(1/3)+(1/3)x(4/3)nx36=1.5+16n
明显costB>costA,选用A.
条件2不知道两者每liter能刷多大面积的墙,所以不充分.
综上所述,最终答案选择A,statement(1) alone is sufficient,but statement(2) alone is not sufficient.