Six people can pack 1500 boxes in 4 days. At the same rate, how many boxes can eight people pack in 6 days?

Question

it's an average problem 

Answer 1

for the original group we have

1500 boxes / (6 x 4) = 62.5 boxes per person per day

then for the new group we have a total of

8 people x 6 days = 48 person-days

meaning that the total number of boxes here is

48 person-days x 62.5 boxes per person per day = 3000 boxes

Answer 2

Hi!  The trick to this problem is to find the average number of boxes one person can pack in one day.  You know that six people can pack 1500 boxes in 4 days, so you can divide by 4 to find out how many boxes 6 people can pack in one day.  1500 boxes/4 days = 375 boxes per day*, so the six people are getting, on average, 375 boxes packed every day.

 

Now if 6 people are packing 375 boxes per day, then how many boxes, on average, is each person packing per day?  375/6 = 62.5, so each person is packing, on average, 62.5 boxes per day.

 

Now if each person can pack about 62.5 boxes per day, then multiply that by 8 to find how many boxes 8 people can pack per day.  (62.5 x 8 = 500)

 

Now if 8 people can pack 500 boxes per day, you can multiply that by 6 to find out how many boxes they could pack in 6 days.  (500 x 6 = 3000)

 

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