document.write( "Question 1114919: 584 tickets have been sold for the schools play. An adult ticket costs $5 and a student ticket costs $3. The total ticket sales are $2112. Use a system of equations to solve for the number of student tickets that have been sold to the play. \n" ); document.write( "
Algebra.Com's Answer #729846 by addingup(3677)![]() ![]() You can put this solution on YOUR website! To solve as a system of equations: \n" ); document.write( "Equation for the number of tickets sold: \n" ); document.write( "a + s = 584 \n" ); document.write( "multiply all elements in this equation times 5: \n" ); document.write( "5a + 5s = 2920 (1) \n" ); document.write( "Equation for the total $ tickets sold: \n" ); document.write( "5a + 3s = 2112 subtract this equation from (1): \n" ); document.write( "---------------------------------------------------------- \n" ); document.write( "5a + 5s = 2920 \n" ); document.write( "- \n" ); document.write( "5a + 3s = 2112 \n" ); document.write( "-------------- \n" ); document.write( "0a + 2s = 808 \n" ); document.write( "rewrite, since the value of a is 0: \n" ); document.write( "2s = 808 \n" ); document.write( "s = 404 \n" ); document.write( " \n" ); document.write( " |