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.
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document.write( "A. Write a system of equations for this situation.
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document.write( "B. Solve your system using substitution or elimination. Make sure to show all your work for full credit. \n" );
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Algebra.Com's Answer #578721 by stanbon(75887)![]() ![]() ![]() 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( " |