27.12.2020

Sixty teachers and students went to a theme park. They paid a total of $976 for
admission tickets. An admission ticket for a teacher was $20 while an admission
ticket for a student was 20% less the price of a teacher's admission ticket. Find
the number of teachers and the number of students who went to the theme park.

. 8

Step-by-step answer

13.01.2022, solved by verified expert
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Total people= 60
Let there are x teachers.
Number of students = 60-x
admission ticket for a teacher = $20
admission ticket for a student = 20% less the price of a teacher's admission ticket = 80% of the price of a teacher's admission ticket = 20×80/100 = $16
Total cost of tickets = $976
admission ticket for a student× number of students + admission ticket for a teacher× number of teachers = Total cost of tickets
16(60-x) + 20x = 976
16×60 - 16x + 20x = 976
4x = 976-960
4x = 16
x = 4
So there are 4 teachers and 60-4 = 56 students
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