Total fudge purchased by the 5 friends = 16 pounds
Question=> Did any one friend purchase more than 5 pounds of fudge?
Statement 1: No two friends purchased the same amount of fudge.
Average pound per friend = 16/5 = 3.2 pounds
Possible scenario => 3.2 + 3.3 + 3.4 + 3.5 + 2.6
No single purchase was greater than 5 pounds.
But for another possible scenario => 1 + 2 + 3 + 4 + 6
There is a purchase that is greater than 5 pounds. Since there are more than one solution in statement 1, then it is NOT SUFFICIENT.
Statement 2: The minimum increment in which the chocolatier sells fudge is one pound.
Possible scenario => 3 + 3 + 3 + 3 + 4
Here, no single purchase was greater than 5 pounds but for another scenario; 1 + 2 + 3 + 4 + 6
There is a purchase that is greater than 5 pounds. Since there are more than one solution in statement 2, then it is also NOT SUFFICIENT.
Combining both statements:
Statement 1: No two friends purchased the same amount of fudge.
Statement 2: The minimum increment in which the chocolatier sells fudge is one pound.
This implies that;
*There is no purchase with the same amount /price
*There is no fractional amount
*Each successive amount is increased by at least 1 pound
Therefore, the only possible scenario is 1, 2, 3, 4, 6.
We have a friend who purchased more than 5 pounds of fudge. Hence, both statements combined together ARE SUFFICIENT.
Answer = option C
