SOLUTION: The average mass of 50 pumpkins is 2,1kg. If one more pumkin is added, the average mass is 2,2kg. What is the mass of the extra pumpkin?

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Question 1137578: The average mass of 50 pumpkins is 2,1kg. If one more pumkin is added, the average mass is 2,2kg. What is the mass of the extra pumpkin?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the mass of the added pumpkin
Let +b+ = the total mass of the pumpkins
without the added pumpkin
+b%2F50+=+2.1+
+%28+b+%2B+a+%29+%2F+51+=+2.2+
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+b+=+2.1%2A50+
+b+=+105+
and
+%28+105+%2B+a+%29+%2F+51+=+2.2+
+105+%2B+a+=+112.2+
+a+=+7.2+
The extra pumpkin weighs 7.2 kg
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check:
+%28+105+%2B+7.2+%29+%2F+51+=+2.2+
+112.2+=+2.2%2A51+
+112.2+=+112.2+
OK