Question

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

Answer 1

C. 4,100

Explanation:

"60% more" is represented by a multiplier of 1 + 0.60 = 1.60.

"60% fewer" is represented by a multiplier of 1 - 0.60 = 0.40.

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Let b represent the number of booklets distributed by Team B. Then the number distributed by Team A is ...

1.60 × (0.40b) . . . . 60% more boxes, each with 60% fewer booklets

= 0.64b

Then the total distributed by both teams is ...

b + 0.64b = 1.64b = (164/100)b = (41/25)b

The only answer choice that is a multiple of 41 is ...

4,100 . . . choice C

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For 4100 to be the number of booklets distributed by both teams, Team B will have distributed 2500 booklets, and Team A will have distributed 1600 booklets. Team A might have distributed 160 boxes of 100 booklets, while Team B might have distributed 100 boxes of 250 booklets.