SOLUTION: I need to know how to solve this problem so I can explain it to my boys.
Joe tossed 4 into the pot. Their average weight was 6 lbs. Then he tossed in 5 more whose average weight w
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Question 114535This question is from textbook Algebra 1/2
: I need to know how to solve this problem so I can explain it to my boys.
Joe tossed 4 into the pot. Their average weight was 6 lbs. Then he tossed in 5 more whose average weight was 7 lbs. Then he threw in a big one. The overall average weight of all of theim was 7 lbs. What did the big one weigh?
The answer key says 11. Can you show me how solve this?
This question is from textbook Algebra 1/2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Joe tossed 4 into the pot. Their average weight was 6 lbs.
You now have 4 objects in the pot with total weight of 4*6=24 lbs
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Then he tossed in 5 more whose average weight was 7 lbs.
You now have 9 objects in the pot with total weight of 24+5*7 = 59 lbs.
-----------------
Then he threw in a big one.
You now have 10 objects in the pot with total weight of 59+x lbs
-------------------
The overall average weight of all of them was 7 lbs.
overall average = (59+x)/10
-----------------
What did the big one weigh?
EQUATION:
(59+x)/10 = 7
59+x = 70
x = 11 lbs
The big one weighed 11 lbs.
=================
Cheers,
Stan H.
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