Let the oranges cost = x
Let the apples cost = y
According to given conditions, equation becomes:
[tex]12x+6y=5.38[/tex] .... (1)
[tex]8x+5y=3.68[/tex] .....(2)
Multiplying equation (1) by 8 and equation (2) by 12 to get y
96x+48y=43.04 .... (3)
96x+60y=44.16 .... (4)
Now subtracting both equations we get,
12y = 1.12
y = 0.093
Hence, cost of 1 apple = $0.093
As 12x+6y=5.38
12x+6(0.093)=5.38
12x=4.822
x = 0.40
Hence, cost of 1 orange = $0.40