document.write( "Question 178044: Tickets to the school play are $7.00 for adults and $5.50 for students. If the total value of all the tickets sold is $3825 and 100 more students bought tickets than adults, how many adults and students bought tickets? \n" ); document.write( "
Algebra.Com's Answer #133107 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Tickets to the school play are $7.00 for adults and $5.50 for students. If the \n" ); document.write( " total value of all the tickets sold is $3825 and 100 more students bought \n" ); document.write( " tickets than adults, how many adults and students bought tickets? \n" ); document.write( ": \n" ); document.write( "let a = no. of adults \n" ); document.write( "let s = no. of students \n" ); document.write( ": \n" ); document.write( " the total$ equation \n" ); document.write( "7a + 5.5s = 3825 \n" ); document.write( ": \n" ); document.write( "it says,\" 100 more students bought tickets than adults,\" equation for this: \n" ); document.write( "s = a + 100 \n" ); document.write( ": \n" ); document.write( "Substitute (a+100) for s in the total$ equation: \n" ); document.write( "7a + 5.5(a+100) = 3825 \n" ); document.write( ": \n" ); document.write( "7a + 5.5a + 550 = 3825 \n" ); document.write( ": \n" ); document.write( "12.5a = 3825 - 550 \n" ); document.write( "a = \n" ); document.write( "a = 262 adults \n" ); document.write( ": \n" ); document.write( "I'll let you find the number of students, Check solutions in total$ equation \n" ); document.write( " |