Question

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 able to purchase coach tickets for $120 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $2640. How many first class tickets did she buy? How many coach tickets did she buy?

Answer 1

Sarah purchased 3 coach tickets and 2 first class tickets.

Step-by-step explanation:

In order to find the number of first class tickets Sarah bought, we can set up a system of equations.

Let x represent the number of coach tickets and y represent the number of first class tickets.

We know that the total number of tickets is 5, so we have the equation:

x + y = 5

We also know the total cost of the tickets is $2640, so we have the equation:

120x + 1140y = 2640

We can solve this system of equations by substitution or elimination to find the values of x and y.

Substituting y = 5 - x into the second equation, we get:

120x + 1140(5 - x) = 2640

Simplifying, we have:

120x + 5700 - 1140x = 2640

On combining like terms:

-1020x + 5700 = 2640

Now, solve for x:

-1020x = 2640 - 5700

-1020x = -3060

x = -3060/-1020

x = 3

So, she purchased 3 coach tickets. Substituting this value back into the equation x + y = 5, we can find the value of y:

3 + y = 5

y = 5 - 3

y = 2

Therefore, she purchased 3 coach tickets and 2 first class tickets.