1. Let the amount of sugar used to be x kg and the amount of flour used to be y kg. Then, we have two equations: x + y = 24.5 and \(\frac{x}{2.5} = \frac{y}{4.5}\).
2. Solving for x in the second equation, we get x = \(\frac{5}{9}\)y.
3. Substituting this value of x into the first equation, we get \(\frac{5}{9}\)y + y = 24.5.
4. Simplifying further, we get \(\frac{14}{9}\)y = 24.5.
5. Solving for y, we get y ≈ 15.75.
6. Substituting this value of y into the first equation, we get x + 15.75 = 24.5.
7. Solving for x, we get x ≈ 8.75.