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An office manager booked 61 airline tickets. He booked 8 more tickets on Airlines A than Airlines B. On Airlines​ C, he booked 5 more than twice as many tickets as on Airlines B. How many tickets did he book on each​ airline?

 Sep 5, 2020
 #1
avatar+27001 
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61 tix = B     +      B+ 8       +     2B+5     solve for B      then A = B+8       C = 2B+5

 Sep 5, 2020
 #2
avatar+230 
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We first denote b as the total number of tickets booked on airline b, we construct the following equation:

b+b+8+2b+5=61

4b+13=61

4b=48

b=12

So on airline b he booked 12, on a he booked 20, and on c he booked 29.

 Sep 5, 2020

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