An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 10 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 8 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?  Choose the correct choice from the following:  A) 9 pounds  B) 10 and 1/10 pounds  C) 10 and 2/5 pounds  D) 11 pounds  E) 11 and 1/7 pounds
Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 3 * (10 and 2/3 pounds), or 35 pounds. The total weight on Wednesday was 7 * (8 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 59 + 32, or 101 pounds. The average is 91 pounds/10 packages, or 9 pounds per package.   Correct answer: 9 pounds
<result>A</result>
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 10 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 8 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?