nataliajohnson80
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A school trip to a museum cost $2,056. A total of 125 chaperones and students went on the trip. Adult admission to the museum costs $23, and student admission costs $16. How many chaperones and students went to the museum?

Respuesta :

mhanifa

Answer:

  • 8 adults and 117 students

Step-by-step explanation:

Set the following equations based on the question:

  • c + s = 125
  • 23c + 16s = 2056

Solve the system by elimination, multiply the first equation by 23 and subtract the second one:

  • 23c + 23s - 23c - 16s = 23*125 - 2056
  • 7s = 819
  • s = 819/7
  • s = 117

Find the value of c:

  • c + 117 = 125
  • c = 8

Answer:

Chaperones = 8 and Student = 117

Step-by-step explanation:

Let,

Chaperones = x

Student = y

x + y = 125

=> x = 125 - y (1)

23x + 16y = 2056

=> 23(125 - y) + 16y = 2056

=> 2875 - 23y + 16y = 2056

=> 2875 - 7y = 2056

=> 2875 - 2056 = 7y

=> 819 = 7y

=> 819/7 = y

=> 117 = y

From 1

=> x = 125 - 117

=> x = 8