Question

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the average weight per bushel?

Answer 1

ANSWER


`Average \: Weight = 7 (1)/(8) \: bushels`


Step-by-step explanation

To find the average weight per bushel, we add all the three weight and divide by 3.



`Average \: Weight = (8 (1)/(4) + 6 (1)/(2) + 6 (5)/(8) )/(3)`


We convert all the mixed numbers to improper fraction to obtain,



`Average \: Weight = ( (33)/(4) + (13)/(2) + (53)/(8) )/(3)`


The least common denominator for the fractions in the numerator is 8.


This implies that,


`Average \: Weight = ( (66 + 52 + 53)/(8) )/(3)`

This simplifies to



`Average \: Weight = ( (171)/(8) )/(3)`


This gives us,


`Average \: Weight = (171)/(24)`




`Average \: Weight = (57)/(8)`



`Average \: Weight = 7 (1)/(8)`