averages topic

Question

A restaurent orders 150 kgs of pumpkins from the farmers market . the farmers fills the order with 23 pumpkins . the average mass of the first 20 pumpkins is 6.5 kg what must be the minimum average mass of the remaining 3 pumpkins to fill the order?

 

(a)5.5 kg

(b)5.67 kg

(c)6.67 kg

(d)7 kg

(e)11.5 kg

Answer 1

We know the average mass of 1st 20 pumpkins is 6.5 kg

Let x = sum of the 1st 20 pumpkins

 

x/20 = 6.5

 

x = 6.5(20) = 130 kg

 

The 1st 20 pumpkins totaled to a weight of 130 kg

The last 3 pumpkins has to total to 20 kg

 

We have a total weight of 20 kg for 3 pumpkins so the average = 20/3 = 6 2/3 = 6.67 kg each