SOLUTION: the booster club voted on where they would go for their annual trip.a majority of the club voted to go to a baseball game.they bought 29 tickets.som epf the tickets cost $21 each a

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Question 118930: the booster club voted on where they would go for their annual trip.a majority of the club voted to go to a baseball game.they bought 29 tickets.som epf the tickets cost $21 each and some cost $27 each.the total cost of all the tickets was $675.how many ticktes of each price did they buy?
Answer by solver91311(12126) About Me  (Show Source):
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Let's say that they bought x $27 tickets. That means that they bought (29 - x) $21 tickets.

The value of the $27 tickets then is 27x and the value of the $21 tickets is 21%2829-x%29.

Finally, we know that the value of the $27 tickets plus the value of the $21 tickets is $675, so we can write:

27x+%2B+21%2829-x%29+=+675

Solve the equation:

27x-21x%2B609=675

6x=66

x=11

So now we know that they bought 11 $27 tickets, so they bought (29 - 11 = 18) $21 tickets.

Check:
11 * 27 = 297
18 * 21 = 378
11 + 18 = 29 and
297 + 378 = 675 -- Answer Checks.