Answer:
Adult = 39
Children = 36
Step-by-step explanation:
The total number of people = 75
Cost of adult ticket = $2.75
Cost of children ticket = $2.25
Total receipts = $188.25
Let the number of adult = x
Let the number of children = y
X + y = 75 ......equation (i)
(X × 2.75) + (y × 2.25) = 188.25
2.75x + 2.25y = 188.25.......equation (ii)
To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.
From equation 1,
X + y = 75
X = 75 - y......equation(iii)
Put equation (iii) into equation (ii)
2.75*(75 - y) + 2.25y = 188.25
206.25 - 2.75y + 2.25y = 188.25
206.25 - 0.5y = 188.25
Collect liketerms
0.5y = 206.25 - 188.25
0.5y = 18
Y = 18 / 0.5
Y = 36
Put y = 36 into equation (i)
X + 36 = 75
X = 39
Therefore the number of adult is 39 while that of children is 36.
