Admission to a Museum is $30 for adults and $20 for students. The freshman class is attending a field trip
with teacher chaperones. Mr. Frees collects $6050 total from teachers and students, and 297 total people
go on the field trip. How many students and teachers attended?
Use s for # of students and a for # of adults
A) Write the equation representing the total number of people who went to the Museum
B) Write the equation representing the total amount of money collected
Now solve your system on your own paper
C) Number of students attending:
D) Number of adults attending:
Submit Question

Respuesta :

9514 1404 393

Answer:

  A) a + s = 297

  B) 30a +20s = 6050

  C) 286 students

  D) 11 adults

Step-by-step explanation:

A) Total people is the sum of the numbers of adults and students:

  a + s = 297

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B) Total revenue is the sum of revenue from each class of attendees:

  30a +20s = 6050

The solution is ...

  30a + 20(297 -a) = 6050 . . . there were 297-a students

  10a = 110 . . . . . . . . . . . . . . . . subtract 5940

  a = 11

  s = 297 -11 = 286

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C) 286 students attended.

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D) 11 adults attended.