Stephanie M. answered • 05/02/15
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You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Stephanie M.
tutor
For this particular problem, you should use a total of 17 people---Sarah has to buy a ticket for herself as well!
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01/08/21
Jaquilyn S.
You are smart!
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01/12/21
Nick H.
I think it is supposed to be 16 because it said including her. If it said something like Sarah and 16 people then you would add Sarah, but it says including Sarah.
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05/20/21
Stephanie M.
tutor
For a problem that says "16 people and Sarah" or a problem that says "17 people including Sarah" (like this one), the total number of tickets would be 17. The problem tells us Sarah is included in the total of 17 so that we don't use 17+1.
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05/20/21
David M.
its 8 coach tickets and 8 first-class tickets because there is a total of 16 people and that includes Sarah.01/08/21