Answer:
Number of Students who attended = 22
Number of Adults who attended = 34
Number of Children who attended = 62
Step-by-step explanation:
Total crowd at concert = 118
Cost of each adult's ticket = $20
Cost of each student's ticket = $16
Cost of each children's ticket = $11.50
The total revenue of the concert = $1745.00
Now, Let the number of students = k
So, the number of children = k + 40
So, number of adults = 118 - {k + (k + 40)}
= 118- 2k -40 = 78 -2k
So, the total revenue = Total revenue from {adults + students + children}
or, $1745.00 = (78 -2k)(20) + k(16) +(k+40)(11.50)
here, solving for the value of k :
12.5k = 2020 - 1745
or k = 275\12.5 = 22
So, the Number of students who attended = 22
Number of Adults who attended = 78 - 2k = 78 - 44 = 34
Number of children who attended = k + 40 = 22 + 40 = 62
