<PRE><B>Question 70198</B>
Number the pumpkins from 1 (heaviest) to 5 (lightest)
The two heaviest weigh 121 and the two lightest weigh 110.
Find the average weight of the 5 pumpkins.
=(110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 120 + 121)/20 = 57.8
Knowing the weights of the two heaviest and two lightest work out the weight of the pumpkin in the middle.
121 + 110 + Pumpkin3 = 5 * (57.8)
231 + Pumpkin3 = 289
ie Pumpkin3 weighs 58 pounds.
The second heaviest weight comes from Pumpkin3 and Pumpkin1.
ie Pumpkin1=120 - 58 = 62 pounds
Pumpkin1 + Pumpkin2 = 121
ie Pumpkin2 = 59 Pounds
The second lightest weight comes from Pumpkin3 and Pumpkin5.
ie Pumpkin5=112 - 58 = 54 pounds
Pumpkin4 + pumpkin5 = 110
ie Pumpkin4 = 56 pounds
So the pumpkin wights are 62, 59, 58, 56 and 54 pounds.
You can easily check if these weights are correct.
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