document.write( "Question 698423: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 263 people entered the park, and the admission fees collected totaled 682.00 dollars. How many children and how many adults were admitted? \n" ); document.write( "
Algebra.Com's Answer #430662 by Stitch(470)\"\" \"About 
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Let C = # of Children
\n" ); document.write( "Let A = # of Adults
\n" ); document.write( "Equation 1: \"A+%2B+C+=+263\"
\n" ); document.write( "Equation 2: \"4A+%2B+1.5C+=+682\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Solve equation 1 for one of the variables
\n" ); document.write( "Equation 1: \"A+%2B+C+=+263\"
\n" ); document.write( "\"A+=+263+-+C\"
\n" ); document.write( "Now Plug (263 - C) into equation 2 for A
\n" ); document.write( "Equation 2: \"4A+%2B+1.5C+=+682\"
\n" ); document.write( "\"4%2A%28263+-+C%29+%2B+1.5C+=+682\"
\n" ); document.write( "Simplify
\n" ); document.write( "\"1052+-+4C+%2B+1.5C+=+682\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"1052+-+2.5C+=+682\"
\n" ); document.write( "Add 2.5C to both sides
\n" ); document.write( "\"1052+=+682+%2B+2.5C\"
\n" ); document.write( "Subtract 682 from both sides
\n" ); document.write( "\"370+=+2.5C\"
\n" ); document.write( "Divide both sides by 2.5
\n" ); document.write( "\"highlight%28148+=+C%29\"
\n" ); document.write( "Now go back and plug 148 in for C
\n" ); document.write( "\"A+=+263+-+C\"
\n" ); document.write( "\"A+=+263+-+%28148%29\"
\n" ); document.write( "\"highlight_green%28A+=+115%29\"
\n" ); document.write( "
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