Answer: A) x+ y = 101--------Equation 1
2.50x + y= 164----- Equation 2
B) X= 49 adult tickets
y= 52 student tickets
Step-by-step explanation:
Step 1
Let x represent the number of adult tickets
and y represent the number of student tickets
Such that the total n umber of tickets sold can be expressed as
x+ y = 101
Also given that student ticket costs $1 and An adult ticket costs $2.50 such that the equation to represent The total sales will be
2.50x + 1y= $164
Step 2
The system of equations in terms of x and y to model the situation are given as
x+ y = 101--------Equation 1
2.50x + y= 164----- Equation 2
Solvng
x+y =101-----1
making y the subject formulae
y=101-x
Substituting y= 101-x into equation 2 and solvng out
2.50 + 101-x =164
1.50 x= 164-101
1.50x=63
x=63/1.50
x=42
Putting the value of x= 42 into equation 1 to find y
x+y=101
y= 101-42
y=59
