Answer: Number of adults = 61, and number of children = 43
Let the number of adult be x
Let the number of children be y
The total number of people that attended the concerts is 104. This implies that both the children and adult sum up to 104 in the concert
x + y = 104 ------- equation 1
The tickets for adults is sold at the rate of $2.75 and the tickets for children is sold at the rate of $1.5
At the end of the concert, the total rceipts was $232.25
2.75x + 1.5y = 232.25 --------- equation 2
The system of equations generated can be solve simultaneously using substitution method.
x + y = 104 ------ --------------1
2.75x + 1.5y = 232.25-------2
Make x the subject of the formula in equation 1
x = 104 - y -------------- 3
Substitute equation 3 into equation 2
2.75(104 - y) + 1.5y = 232.25
Open the parenthesis
2.75 x 104 - 2.75 x y + 1.5y = 232.25
286 - 2.75y + 1.5y = 232.25
Collect the like terms
-2.75y + 1.5y = 232.25 - 286
-1.25y = -53.75
Divide both sides by -1.25
-1.25y / -1.25 = -53.75 / -1.25
y = 43
Find x, substitute the value of y = 43 into equation 1
x + y = 104
x = 104 - y
x = 104 - 43
x = 61
The number of adults = 61
The number of children = 43