Sarah went on a trip with clients

Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 8 people were on the trip. She was able to purchase coach tickets for $140 and first class tickets for $1280. She used her total budget for airfare for the trip, which was $6820. How many first class tickets did she buy? How many coach tickets did she buy?

Answer 1

Hi, Rebecca!

Okay, so let's name a variable.

Let x = the number of coach tickets

Since there are 8 people, the number of first class tickets is (8 - x)

So, if the total she spent was $6820, then we need to solve the following equation:

140x + 1280(8 - x) = 6820

140x + 10240 - 1280x = 6820

-1140x + 10240 = 6820

10240 - 6820 = 1140x

3420 = 1140x

x = 3

Now, let's check our answer:

140(3) + 1280(5) = 420 + 6400 = 6820

Therefore, our answer is correct.

So, the number of coach tickets is 3 and the number of first class tickets is 5.