document.write( "Question 1075719: An entry pass to a museum costs $12 for a child for a child and $15 for an adult. A total of 300 entry passes were sold, and the total money collected is $4140. The number of $15 entry passes sold are \n" ); document.write( "
Algebra.Com's Answer #690424 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
An entry pass to a museum costs $12 for a child for a child and $15 for an adult. A total of 300 entry passes were sold, and the total money collected is $4140. The number of $15 entry passes sold are
\n" ); document.write( ":
\n" ); document.write( "let a = no. of adult tickets
\n" ); document.write( "let c = no. of children's
\n" ); document.write( "The total tickets sold equation
\n" ); document.write( "a + c = 300
\n" ); document.write( "c = -a + 300, use this form for substitution
\n" ); document.write( "The $$ equation
\n" ); document.write( "15a + 12c = 4140
\n" ); document.write( "simplify, divide by 3
\n" ); document.write( "5a + 4c = 1380
\n" ); document.write( "replace c with (-a+300)
\n" ); document.write( "5a + 4(-a+300) = 1380
\n" ); document.write( "5a - 4a + 1200 = 1380
\n" ); document.write( "a = 1380 - 1200
\n" ); document.write( "a = 180 adults,($15 adult passes)
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this, find the no. of children
\n" ); document.write( "300 - 180 = 120 children
\n" ); document.write( "calculate how much of each
\n" ); document.write( "15(180) = $2700
\n" ); document.write( "12(120) = $1440
\n" ); document.write( "----------------
\n" ); document.write( "total $: $4140 \n" ); document.write( "
\n" );