+0  
 
+3
110
2
avatar+108 

Tim flew home from holiday with a heavy bag. With the first airline he flew, Tim had to pay $20 to check his bag, plus $22 for every kilogram that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Tim had to pay $19 per kilogram that his bag was over the weight limit, in addition to the checked bag fee of $32. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee? How far over the weight limit was the bag?


Each airline's fee was    $, and the bag was       kilograms over the weight limit.

ItsTayha  May 10, 2017
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2+0 Answers

 #1
avatar+280 
0

I don't know how to do this O-O'

Jelly  May 10, 2017
 #2
avatar+17613 
+1

Let  k  represent the number of kilograms over the weight limit.

 

First airline:       Fee  =  $20 + $22k

Second airline:  Fee  =  $32 + $19k

 

Since the fees were equal:                 $20 + $22k  =  $32 + $19k

Subtracting $19k from both sides:        $20 + $3k  =  $32

Subtracing $20 from both sides:                     $3k  =  $12

Dividing by 4:                                                      k  =  4      <--     the bag was 4 k overweight.

 

First airline:       Fee  =  $20 + $22k     --->     Fee  =  $20 + $22(4)  =  $20 +  $88  =  $108

Second airline:  Fee  =  $32 + $19k     --->     Fee  =  $32 + $19(4)  =  $32 +  $76  =  $108

geno3141  May 10, 2017

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