Answer: The two constraints or equations for this problem are
3x + 9y = 75---- equation 1
8x + 5y =67------- Equation 2
can also be written as
x + 3y = 25 ----equation- 3
8x + 5y =67----- Equation 4
Which upon solving gave
x as cost of senior citizen = $4 and Y as cost of child ticket = $7
Step-by-step explanation:
Step 1
Let the number of Senior citizen tickets be represented as x
let the number of child's tickets
be represented as y
Step 2 writing out the two equations for each day:
3x + 9y = 75---- equation 1
8x + 5y =67------- Equation 2
Step 3--Solving -------------
3x + 9y = 75 can also be written as
x + 3y = 25 when divide all by 3
Giving us
x + 3y = 25 ----- eqn 3
8x + 5y =67----- eqn 4
Multiplying eqn 3 by 8 and subtracting eqn 4
8x + 24y = 200
8x + 5y = 67
19y = 200-67
19y =133
y = 133/19 = 7
To get x
x +3y= 25
x = 25- 3(7)
x = 25-21
x = 4
x cost of senior citizen = $4 and Y cost of child ticket = $7
