Answer:
Let's solve this problem using algebra. Let x be the cost of one orange and y be the cost of one apple. Then we have the system of equations:
12x + 7y = 5.36
8x + 5y = 3.68
To solve for x and y, we can use elimination. Multiplying the second equation by 3 and subtracting it from the first equation multiplied by 5, we get:
(5*12 - 7*8)x + (5*7 - 3*5)y = 26.8 - 11.04
20x = 15.76
x = 0.788
Substituting x back into one of the equations, we can solve for y:
12(0.788) + 7y = 5.36
y = 0.308
Therefore, one orange costs $0.788 and one apple costs $0.308.