document.write( "Question 1055816: A church group goes to the movies every Friday night. Last week, they bought 26 adult tickets and 40 youth tickets, at a total cost of $408. This week, they spent $369 on 18 adult tickets and 45 youth tickets. Find the cost of one adult ticket and one youth ticket? \n" ); document.write( "
Algebra.Com's Answer #671007 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! adult=x youth =y \n" ); document.write( "26x+40y=408 \n" ); document.write( "18x+45y=369 \n" ); document.write( "multiply top by 9 bottom by -8 to eliminate y \n" ); document.write( "-234x-360y=-3672 \n" ); document.write( "144x+360y=2952 \n" ); document.write( "-90x=-720 \n" ); document.write( "x=8 \n" ); document.write( "y must equal 208+40y=408; 40y=200, y=5 \n" ); document.write( "check in second equation \n" ); document.write( "144+225=369 \n" ); document.write( "adult tickets are $8 \n" ); document.write( "youth tickets are $5 \n" ); document.write( " |