Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A's has 60% fewer booklets than each box of Team B's. Which of the following could be the total number of booklets distributed by the two groups?
A)2,000
B)3,200
C)4,100
D)4,800
E)4,900
Since 60% = 3/5, plug in the SMALLEST POSSIBLE VALUE -- 5 -- for the unknowns attributed to team B.
Team B:
Let the number of boxes = 5.
Let the booklets per box = 5.
Total booklets = 5*5 = 25.
Team A:
Since team A distributes 60% more boxes, the number of boxes = 5 + 0.6(5) = 8.
Since each box contains 60% fewer booklets, booklets per box = 5 - 0.6(5) = 2.
Total booklets = 8*2 = 16.
Total booklets for the two teams = 25+16 = 41.
Since 41 is the least possible value for the total number of booklets, the correct answer choice must be a multiple of 41.
The correct answer is
C.
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