In a certain warehouse, 70 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? Select.
A) 8
B) 64
C) 120
D) 102
E) 144
If 80% of the packages weigh at least 25 pounds   This means that 20% of the packages weigh LESS THAN 25 pounds   Let T = TOTAL number of packages   So, 20% of T = # of packages that weigh LESS THAN 25 pounds   48 packages weigh LESS THAN 25 pounds   GREAT. So, 20% of T = 48   Rewrite to get: 0.2T = 48   Solve:T = 240   70% of the packages weigh less than 75 pounds   So, 70% ofT= number of packages that weigh less than 75 pounds   70% of240=168, so168packages weigh less than 75 pounds   OF THOSE168packages that weigh less than 75 pounds,48packages weigh less than 25 pounds.   So, the number of packages that weight BETWEEN 25 and 75 pounds =168-48= 
<gadget id="calculator">168-48</gadget>
<output>120</output>
120= 120
<result>C</result>
In a certain warehouse, 70 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?