Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 5 people took the trip, She was ablato purchase coach tickets for $360 and first class tickets for $940. She used her total budget for airfare for the trip, which was $2960. How many first class tickets did she buy? How many coach tickets did she b
To solve this problem, we can set up a system of equations. Let's represent the number of coach tickets Sarah bought as x and the number of first-class tickets she bought as y.
From the given information, we know that the total number of people who took the trip, including Sarah, is 5. Therefore, the number of coach tickets and first-class tickets combined must equal 5, which gives us our first equation:
x + y = 5
We also know that the cost of coach tickets is $360 and the cost of first-class tickets is $940. Sarah's total airfare budget was $2960, which means she spent all of it on buying tickets. Therefore, the cost of the coach tickets plus the cost of the first-class tickets must equal $2960, giving us our second equation:
360x + 940y = 2960
Now, we can solve this system of equations. We will use the substitution method.
From our first equation, we can express x in terms of y:
x = 5 - y
Substituting this into the second equation:
360(5 - y) + 940y = 2960
1800 - 360y + 940y = 2960
580y = 1160
y = 1160/580
y = 2
Now, we can substitute this value of y back into the first equation to find x:
x + 2 = 5
x = 5 - 2
x = 3
Therefore, Sarah bought 3 coach tickets and 2 first-class tickets.