Abdulla wrote:In a certain warehouse, 60 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
(A) 8
(B) 64
(C) 96
(D) 102
(E) 144
OA is C
If 80% of the packages weigh more than 25 pounds, then 20% weigh less. The problem states that there are 48 packages weighing less than 25 pounds.
Thus, 20% of X = 48, where X is the total number of packages
X = 240.
If 60% of the packages weigh less than 75 lbs, then that means 144 packages weigh less.
60% of 240 = 144
Question is how many weigh more than 25 lbs but less than 75 lbs.
Thus, 144 - 48 = 96 packages
The answer is C
Last edited by
bdemps15 on Fri Dec 12, 2008 2:32 pm, edited 1 time in total.