Question

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?

Answer 1

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 2

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