Let the number of times Akhila played Hoopla be x and number of times she played Giant wheel be y.
Given, number of times she played Hoopla is half the number of rides she had on the Giant Wheel.
⇒ x = 2y
⇒ x – 2y = 0
For above equation, we have following table
Each ride costs Rs 3, and a game of Hoopla costs Rs 4 and she spent Rs 20 in the fair.
⇒ 4x + 3y = 20
Thus, algebraically it is represented by :
x – 2y = 0 and 4x + 3y = 0
Geometrically, it can be graphed as,