Average problem

[phoenix9801]

A delivery service has 12 shipments. Four of these shipments each consists of 14 boxes while each of 6 other shipments consists of 17 boxes each. If the remaining shipments total 34 boxes, what is the average (arithmetic mean) number of boxes per shipment for these 12 shipments?

A) 5 1/2
B) 15 5/6
C) 16
D) 17 3/11
E) 21

[Anurag@Gurome]

A delivery service has 12 shipments. Four of these shipments each consists of 14 boxes while each of 6 other shipments consists of 17 boxes each. If the remaining shipments total 34 boxes, what is the average (arithmetic mean) number of boxes per shipment for these 12 shipments?

Total number of shipments = 12

4 shipments each consists of 14 boxes ---> Total number of boxes = 4*14 = 56
6 shipments each consists of 17 boxes ---> Total number of boxes = 6*17 = 102
Total number of boxes in remaining shipments = 34

Hence, total number of boxes in all shipments = (56 + 102 + 34) = 192

Therefore, average number of boxes per shipment = (Total number of boxes in all shipments)/(Total number of shipments) = 192/12 = 16

The correct answer is C.