document.write( "Question 693890: The cost of admission to the spring carnival was $39 for a group of 8 children and 3 adults. The admission was $43 for another group of 11 children and 2 adults. What was the admission price for each child? What was the admission price for each adult? \n" ); document.write( "
Algebra.Com's Answer #427624 by Stitch(470)\"\" \"About 
You can put this solution on YOUR website!
Let A = the cost of a child
\n" ); document.write( "Let B = the cost of an adult
\n" ); document.write( "Equation 1: \"8A+%2B+3B+=+39\"
\n" ); document.write( "Equation 2: \"11A+%2B+2B+=+43\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "You can rewrite the equations to make them equal zero.
\n" ); document.write( "Then you can set the two equations equal to each other.
\n" ); document.write( "\"8A+%2B+3B+-+39+=+11A+%2B+2B+-+43\"
\n" ); document.write( "Subtract 8A from both sides
\n" ); document.write( "\"3B+-+39+=+3A+%2B+2B+-+43\"
\n" ); document.write( "Add 39 to both sides
\n" ); document.write( "\"3B+=+3A+%2B+2B+-+4\"
\n" ); document.write( "Subtract 2B from both sides
\n" ); document.write( "\"B+=+3A+-+4\"
\n" ); document.write( "-------------------
\n" ); document.write( "Now plug (3A - 4) into one of the equations for B
\n" ); document.write( "Equation 2: \"11A+%2B+2B+=+43\"
\n" ); document.write( "\"11A+%2B+2%2A%283A+-+4%29+=+43\"
\n" ); document.write( "Simplify
\n" ); document.write( "\"11A+%2B+6A+-+8+=+43\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"17A+-+8+=+43\"
\n" ); document.write( "Add 8 to both sides
\n" ); document.write( "\"17A+=+51\"
\n" ); document.write( "Divide both sides by 17
\n" ); document.write( "\"highlight%28A+=+3%29\"\r
\n" ); document.write( "\n" ); document.write( "Now using A = 3, solve for B
\n" ); document.write( "\"B+=+3A+-+4\"
\n" ); document.write( "\"B+=+3%283%29+-+4\"
\n" ); document.write( "\"B+=+9+-+4\"
\n" ); document.write( "\"highlight_green%28B+=+5%29\"
\n" ); document.write( "
\n" );