Question

how we will solve this by algebraically and graphically

Answer 1

Here's your answer buddy

Answer 2

Denote the number of rides that Akhila had by x, and the number of times she play Hoopla by y.
y=1/2x
x-2y=0.........(1)
3x+4y=20....................(2)
x        0   2                                   x                  0   20/3     4
y=x/2  0  1                                    y=20-30/4   5     0        2
     (1)                                                              (2)
  


NOW YOU CAN REPRESENT THESE EQUATION GRAPHICALLY