document.write( "Question 200113: ticket prices Mario's Marionettes donated free tickets for their show to the local Boys and Girls club. They claimed that the ticket value was $176.75. A child's ticket cost $5.50 and an adult ticket cost $8.75. if there were three times as many children's tickets as adult tickets, how many adults and children got to attend the show for free? \n" ); document.write( "
Algebra.Com's Answer #150472 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the ticket value was $176.75. A child's ticket cost $5.50 and an adult ticket \n" ); document.write( " cost $8.75. if there were three times as many children's tickets as adult \n" ); document.write( "tickets, how many adults and children got to attend the show for free? \n" ); document.write( ": \n" ); document.write( "let a = no. of adult tickets \n" ); document.write( "let c = no. of child's tickets \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "; \n" ); document.write( "\"the ticket value was $176.75.\" \n" ); document.write( "8.75a + 5.50c = 176.75 \n" ); document.write( ": \n" ); document.write( "there were three times as many children's tickets as adult tickets,\" \n" ); document.write( "c = 3a \n" ); document.write( ": \n" ); document.write( "Replace c with 3a in the value equation \n" ); document.write( "8.75a + 5.50(3a) = 176.75 \n" ); document.write( "8.75a + 16.50a = 176.75 \n" ); document.write( "25.25a = 176.75 \n" ); document.write( "a = \n" ); document.write( "a = 7 adults \n" ); document.write( "and \n" ); document.write( "3*7 = 21 children \n" ); document.write( ": \n" ); document.write( " how many adults and children got to attend the show for free? \n" ); document.write( "; \n" ); document.write( "7 Adults and 21 children \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the value equation \n" ); document.write( "8.75(7) + 5.50(21) = \n" ); document.write( "61.25 + 115.50 = 176.75; confirms our solutions \n" ); document.write( " |