document.write( "Question 1113102: The admission fee at an amusement park is $2.75 for children and $4.80 for adults. On a certain day, 316 people entered the park, and the admission fees collected totaled 1197 dollars. How many children and how many adults were admitted? \n" ); document.write( "
Algebra.Com's Answer #728139 by ankor@dixie-net.com(22740)\"\" \"About 
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The admission fee at an amusement park is $2.75 for children and $4.80 for adults.
\n" ); document.write( " On a certain day, 316 people entered the park, and the admission fees collected totaled 1197 dollars.
\n" ); document.write( " How many children and how many adults were admitted?
\n" ); document.write( ":
\n" ); document.write( "let a = no. of adults
\n" ); document.write( "let c = no. of children
\n" ); document.write( ":
\n" ); document.write( "Two equations
\n" ); document.write( "a + c = 316
\n" ); document.write( "arrange for substitution
\n" ); document.write( "c = -a + 316
\n" ); document.write( ":
\n" ); document.write( "4.80a + 2.75c = 1197
\n" ); document.write( "substitute (-a+316) for c
\n" ); document.write( "4.80a + 2.75(-a+316) = 1197
\n" ); document.write( "4.80a - 2.75a + 869 = 1197
\n" ); document.write( "2.05a = 1197 - 869
\n" ); document.write( "2.05a = 328
\n" ); document.write( "a = 328/2.05
\n" ); document.write( "a = 160 adults
\n" ); document.write( "and
\n" ); document.write( "c = 316 - 160
\n" ); document.write( "c = 156 children
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, find the actual amt from each group
\n" ); document.write( "4.80*160 = $768
\n" ); document.write( "2.75*156 = $429
\n" ); document.write( "----------------
\n" ); document.write( "total amt: 1197 \n" ); document.write( "
\n" );