Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 7 people took the trip. She was able to purchase coach tickets for ​$320 and first class tickets for ​$1170. She used her total budget for airfare for the​ trip, which was ​$3940

. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

Sarah purchased 2 first class tickets and 5 coach tickets.

Explanation:

Let's call the number of first class tickets purchased "x".

The number of coach tickets purchased would be 7-x.

We know that the total spent on first class tickets was $1170 * x and the total spent on coach tickets was $320 * (7-x).

The total budget was $3940, so we can set up the following equation:

$1170 * x + $320 * (7-x) = $3940

Expanding the right side:

$1170 * x + $320 * 7 - $320 * x = $3940

Combining like terms:

$800 * x = $3940 - $320 * 7

Subtracting $320 * 7 from both sides:

$800 * x = $3940 - $2240

$800 * x = $1700

Dividing both sides by 800:

x = 2.125

Since x must be a whole number, Sarah purchased 2 first class tickets and 5 coach tickets.