Answer:
The number of children = x = 173
The number of Adults = y = 201
Explanation:
Let the number of children = x
The number of Adults = y
Charge per child = $3
Charge per Adult = $5
Total number of tickets sold = 374
Amount raised = $1524
System of Equations
x + y = 374..... Equation 1
x = 374 - y
3x + 5y = 1524....Equation 2
We solve this question using substitution method
We substitute 374 - y for x in Equation 1
3(374 - y) + 5y = 1524
1122 - 3y + 5y = 1524
- 3y + 5y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Solving for x
x = 374 - y
x = 374 - 201
x = 173
Hence:
The number of children = x = 173
The number of Adults = y = 201