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Sarah took the advertising department from her company on a round-trip to meet with a potential client including Sarah a total of 13 people took the trip she was able to purchase Coach tickets for $260 in first class tickets for $1080 she used her total budget for airfare for the trip which was $9940 how many first class tickets did she buy how many coach tickets did she buy

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opudodennis

Answer:

-5 coach tickets

-8 first class tickets

Step-by-step explanation:

let x be the number of coach tickets and y the number of first class tickets:

[tex]x+y=13\ \ \ \ \ \ ...i[/tex]

Given that coach tickets costs $260 each, and first class tickets $1080 and that the total fare budget was $9940:

[tex]260x+1080y=9940\ \ \ \ \ \ \ \ \ ...ii[/tex]

#From equation i, make  x the subject of the formula:

[tex]x=13-y[/tex]

#Substitute x in ii;

[tex]260x+1080y=9940\\\\260(13-y)+1080y=9940\\\\3380-260y+1080y=9940\\\\820y=6560\\\\y=8\\\\x=13-y\\\\\therefore x=13-8=5[/tex]

Hence, Sarah bought 5 coach tickets and 8 first class tickets.

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