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 \n" );
document.write( "
Algebra.Com's Answer #825395 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \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( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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. \n" ); document.write( " \n" ); document.write( " |