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.
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! .
A=number of adults; S=number of students
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A+S=45
S=45-A
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$7S+$11A=$335
$7(45-A)+$11A=$335
$315-$7A+$11A=$335
$4A=$20
A=5
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S=45-A=45-5=40
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ANSWER: There were 40 students and 5 adults,
with at most 2 teachers,and at least 3 parents.
.
CHECK:
$7S+$11A=$335
$7(40)+$11(5)=$335
$280+$55=$335
$335=$335
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