document.write( "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 ? \n" ); document.write( "

Algebra.Com's Answer #127518 by stanbon(75887) $\"\"$ $\"About$

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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 ?
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\n" ); document.write( "Quantity Equation: x + y = 29
\n" ); document.write( "Value Equation..:21x + 27y = 675
\n" ); document.write( "---------------------------
\n" ); document.write( "Adjust to simplify elimination:
\n" ); document.write( "21x + 21y = 21*29
\n" ); document.write( "21x + 27y = 675
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract 1st from 2nd to solve for \"y\":
\n" ); document.write( "6y = 675 - 21*29
\n" ); document.write( "y = 11 (# of $29 tickets)
\n" ); document.write( "---------
\n" ); document.write( "Since x + y = 29, x = 18 (# of $21 tickets)\r
\n" ); document.write( "\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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