The general admission fee to a museum is $20 for an adult. the admission fee is reduces by %40 for a student. a total of $860 was collected from 55 museum visitors in one day. find the number of adults and students who visited the museum.

25 adults and 30 students

Step-by-step explanation:

Let x be the number of adults and y be the number of students that visited the museum in one day. Then

x adults pay $20x and y students pay $20·0.6·y (because the the admission fee was reduced by 40%, then the admissin fee bacame $20·(1-0.4)=$20·0.6 ).

Thus,

Therefore, you have to solve the system of two equations:

From the first equation substitute it into the second one:

and

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