Answer:
Children=52
Adults=25
Step-by-step explanation:
Total of children and adults is 81 so lets x be the adults and y be the children which in equation form can be written as
x+y=81 (Equation 1)
As Children are charged $2 per child and adults are charged as $5 per adult so total expenditure of both adults and children is $237 which in equation form can be written as
5x+2y=237 (Equation 2)
Extracting value of y from Equation 1
y=81-x (Equation 3)
Put value of y from Equation 3 in Equation 2
5x+2(81-x)=237
5x+162-2x=237
3x=237-162
3x=75
x=25
Putting value of x in Equation 3
y=81-25
y=56
