SOLUTION: Emmy flew home from vacation with a heavy bag. With the first airline she flew, Emmy had to pay $30 to check her bag, plus $6 for every pound that her bag was over the weight limit

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Emmy flew home from vacation with a heavy bag. With the first airline she flew, Emmy had to pay $30 to check her bag, plus $6 for every pound that her bag was over the weight limit      Log On


   

Question 1197309: Emmy flew home from vacation with a heavy bag. With the first airline she flew, Emmy had to pay $30 to check her bag, plus $6 for every pound that her bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emmy had to pay $8 per pound that her bag was over the weight limit, in addition to the checked bag fee of $20. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi 
Let x represent lbs over the weight limit 
1st Airline:  $30 + $6x  **
2nd Airline:  $20 + $8x
 20 + 8x =30 + 6x 
  x = 5 lbs over the weight limit
How large was each airline's fee?
** $30 + $6*5 = $60 ,  fee both airlines charged for 5lbs over.
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