document.write( "Question 948226: A family goes to a school play. Two adult tickets and 1 student ticket costs $8.75. Another family needs 1 adult ticket and 4 student tickets. Their total cost was $10.50. Find the price of each ticket.
\n" ); document.write( "
\n" ); document.write( "A. Write a system of equations for this situation.
\n" ); document.write( "
\n" ); document.write( "B. Solve your system using substitution or elimination. Make sure to show all your work for full credit.
\n" ); document.write( "

Algebra.Com's Answer #578721 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A family goes to a school play. Two adult tickets and 1 student ticket costs $8.75. Another family needs 1 adult ticket and 4 student tickets. Their total cost was $10.50. Find the price of each
\n" ); document.write( "-----
\n" ); document.write( "Equations:
\n" ); document.write( "2a + s = 875 cents
\n" ); document.write( "a + 4s = 1050 cents
\n" ); document.write( "-------
\n" ); document.write( "Modify for elimination:
\n" ); document.write( "2a + s = 875
\n" ); document.write( "2a + 8s = 2100
\n" ); document.write( "-------
\n" ); document.write( "Subtract and solve for \"s\"::
\n" ); document.write( "7s = 1225
\n" ); document.write( "s = 175 cents = $1.75 (price of a student ticket)
\n" ); document.write( "----------------
\n" ); document.write( "Solve for \"a\"::
\n" ); document.write( "2a + s = 875
\n" ); document.write( "2a +175 = 875
\n" ); document.write( "2a = 700
\n" ); document.write( "a = 350 cents = $3.00 (price of an adult ticket)
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------
\n" ); document.write( "
\n" );