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. Some of the tickets cost $21 eac
Algebra ->
Expressions-with-variables
-> 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. Some of the tickets cost $21 eac
Log On
Question 172657: 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. Some of the tickets cost $21 each and some cost $27 each. The total cost of all the tickets was $675. How many tickets if each price did they buy ? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A majority of the club voted to go to a baseball game. They bought 29 tickets. Some of the tickets cost $21 each and some cost $27 each. The total cost of all the tickets was $675. How many tickets if each price did they buy ?
-------------------------
Quantity Equation: x + y = 29
Value Equation..:21x + 27y = 675
---------------------------
Adjust to simplify elimination:
21x + 21y = 21*29
21x + 27y = 675
-----------------
Subtract 1st from 2nd to solve for "y":
6y = 675 - 21*29
y = 11 (# of $29 tickets)
---------
Since x + y = 29, x = 18 (# of $21 tickets)
=============================
Cheers,
Stan H.
(