Answer:
Total number of children = 600
Total number of adults = 270
Explanation:
Admission fee at fair for children = $3.25
Admission fee at fair for adults = $6.75
Total people entered the fair = 870
Collected amount = $3,772.50
Let X be the number of children and Y be the number of adults.
We have total of 870 people
X + Y = 870 -------------- Equation 1
Collected amount = $3,772.50
3.25 X + 6.75 Y = 3,772.50------------Equation 2
Multiplying equation 1 with 3.25,
3.25 X + 3.25 Y = 2827.5---------------Equation 3
Equation 2 - Equation 3,
(3.25 X + 6.75 Y) - ( 3.25 X + 3.25 Y) = 3,772.50 - 2827.5
3.5 Y = 945
Y = 270 adults.
Substituting in equation 1
X + 270 = 870
X = 600 children.
So Total number of children = 600
Total number of adults = 270
