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. 2,000B. 3,200C. 4,100D. 4,800E. 4,900

Answer 1

Answer:

The answer is option C.  

Step-by-step explanation:

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.

We can define the ratio as:

Team A boxes : team B boxes = 160:100 = 8:5

We can say that team A distributes 8x boxes while team B distributes 5x boxes.

Given that team A has 60% fewer means 40% booklets in each box. So,

Team A booklets per box : Team B booklets per box = 40:100 = 2:5

Therefore, team A's boxes have 2y booklets each while team B's have 5y booklets each.

Then the total number of booklets = $16xy+ 25xy =41xy$

Now, books count can be integers which means x and y must be integers and divisible by 41.

Out of all the options, 4100 is divisible by 41.

Therefore, the answer is option C.