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 $340 and first class tickets for $1150. She used her total budget for airfare for the trip which was $5620. How many first class tickets did she buy? How many coach tickets did she buy? 40 points

Answer 1

Answer : Sarah bought 4 first class tickets and 3 coach tickets.

Explanation :

We will call F the number of first class tickets and C the number of coach tickets.

Sarah had to buy a total of 7 tickets for 7 people.

Then F + C = 7 (Equation 1)

She used her total budget = $5,620

Then F*$1,150 + C*$340 = $5,620 (Equation 2)

F + C = 7

F = 7 - C

Now we can replace the value F in the equation  2

(7 - C)*$1,150 + C*$340 = $5,620

7*$1,150 - C*$1,150 + C*$340 = $5,620

$8,050 - C*$810 = $5,620

$8,050 - $5,620 = C*$810

$2,430 = C*$810

C = $2,430/$810 = 3 => number of coach tickets

F = 7 - C = 7 - 3 = 4 => number of first class tickets

Answer : Sarah bought 4 first class tickets and 3 coach tickets.

Verification

Replacing these values in equation 2

4*$1,150 + 3*$340 = $4,600 + $1,020 = $5620 => total budget

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