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rewona [7]
3 years ago
13

Joseph flew home from vacation with a heavy bag. With the first airline he flew, Joseph had to pay $27 to check his bag, plus $2

4 for every kilogram that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Joseph had to pay $25 per kilogram that his bag was over the weight limit, in addition to the checked bag fee of $16. By coincidence, the fees ended up being the same with both airlines. How far over the weight limit was the bag
Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Flight A :

Checked bag fee = $27

Additional fee per overweight limit = $24

Flight B:

Checked bag fee = $16

Additional fee per overweight limit = $25

Since, the total amount paid for the package on both flights are the same ;

Let x = mass of bag above the weight limit.

Hence, Mathematically ;

27 + 24x = 16 + 25x

24x - 25x = 16 - 27

-x = -11

x = 11

Hence. The bag was s 11kg over the weight limit.

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÷2    ÷2                ÷3     ÷3

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<---------            ----------->

<---------0--------0--------->

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I hope this helps!

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