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3 years ago

6

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total

of 15 people took the trip. She was able to purchase coach tickets for $180 and first class tickets for $1160. She used her total budget for airfare for the trip, which was $8580. How many first class tickets did she buy? How many coach tickets did she buy?

1 answer:

ehidna [41]3 years ago

5 0

Answer:

The number of coach tickets bought was 9 and the number of first class tickets bought was 6

Step-by-step explanation:

Let'

x ---> the number of coach tickets bought

y ---> the number of first class tickets bought

we know that

The total of people is 15, so the total of tickets is 15

$x+y=15$ -----> equation A

She was able to purchase coach tickets for $180 and first class tickets for $1160. She used her total budget which was $8580

so

$180x+1,160y=8,580$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (9,6)

see the attached figure

therefore

The number of coach tickets bought was 9 and the number of first class tickets bought was 6

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