document.write( "Question 1193381: The Jurassic Zoo charges ​$12 for each adult admission and ​$7 for each child. The total bill for the 131 people from a school trip was ​$1062. How many adults and how many children went to the​ zoo?  \r
\n" ); document.write( "\n" ); document.write( "there were _adults and _children on the trip
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Algebra.Com's Answer #825395 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "First we will solve the problem using logical reasoning and simple mental arithmetic, since that gives us good mental exercise.

\n" ); document.write( "If all 131 people were children, the total cost of admission would have been 131($7)=$917.
\n" ); document.write( "The actual cost, $1062, was $1062-$917 = $145 more.
\n" ); document.write( "The cost of each adult admission is $5 more than the cost of each child admission.
\n" ); document.write( "The number of adult tickets, to make the additional $145, was $145/$5=29.

\n" ); document.write( "ANSWER: there were 29 adults and 131-29=102 children

\n" ); document.write( "CHECK: 29($12)+102($7)=$348+$714=$1062

\n" ); document.write( "Using formal algebra....

\n" ); document.write( "x = # of adults
\n" ); document.write( "131-x = # of children

\n" ); document.write( "The total cost, at $12 per adult and $7 per child, was $1042:

\n" ); document.write( "\"12x%2B7%28131-x%29=1062\"
\n" ); document.write( "\"12x%2B917-7x=1062\"
\n" ); document.write( "\"5x=145\"
\n" ); document.write( "\"x=29\"

\n" ); document.write( "Adults: x = 29
\n" ); document.write( "Children: 131-x = 102

\n" ); document.write( "Note that with this method of solving the problem using formal algebra, the calculations are exactly the same as with the informal method.

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