document.write( "Question 930461: Three adults and four children must pay $95. Two adults and three children must pay $67. Find the price of the tickets for adult and child \n" ); document.write( "
Algebra.Com's Answer #565033 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! a = price of adult \n" ); document.write( "c = price of child\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3a + 4c = 95 {three adults and 4 children is $95} \n" ); document.write( "2a + 3c = 67 {two adults and 3 children is $67}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-6a - 8c = -190 {multiplied top equation by -2} \n" ); document.write( "6a + 9c = 201 {multiplied bottom equation by 3} \n" ); document.write( "-------------- \n" ); document.write( "c = 11 {added the two equations together}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3a + 4c = 95 {top equation} \n" ); document.write( "3a + 4(11) = 95 {substituted 11, in for c, into top equation} \n" ); document.write( "3a + 44 = 95 {multiplied 4 by 11} \n" ); document.write( "3a = 51 {subtracted 44 from each side} \n" ); document.write( "a = 17 {divided each side by 3}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "adult ticket is $17 \n" ); document.write( "child ticket is $11 \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( "Also, the graph of the two equations shows the point of intersection as (17,11) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |