document.write( "Question 992043: the math club took a field trip to see a movie. A total of 45 people went on the trip, including students, teachers, and parents. There were more parents than teacher (doesn't matter as long as there are parents). Movie tickets cost $11, but the students got a discount and only had to pay $7 each. The group paid a total of $335 to get everyone in. Determine how many students, how many parents, and how many teachers went on the trip. \n" ); document.write( "
Algebra.Com's Answer #611685 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A=number of adults; S=number of students \n" ); document.write( ". \n" ); document.write( "A+S=45 \n" ); document.write( "S=45-A \n" ); document.write( ". \n" ); document.write( "$7S+$11A=$335 \n" ); document.write( "$7(45-A)+$11A=$335 \n" ); document.write( "$315-$7A+$11A=$335 \n" ); document.write( "$4A=$20 \n" ); document.write( "A=5 \n" ); document.write( ". \n" ); document.write( "S=45-A=45-5=40 \n" ); document.write( ". \n" ); document.write( "ANSWER: There were 40 students and 5 adults, \n" ); document.write( "with at most 2 teachers,and at least 3 parents. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "$7S+$11A=$335 \n" ); document.write( "$7(40)+$11(5)=$335 \n" ); document.write( "$280+$55=$335 \n" ); document.write( "$335=$335 \n" ); document.write( " |