A baking recipe calls for 2.5 kg of sugar and 4.5 kg of flour with this recipie some cakes were baked using 24.5 kg of a mixture of sugar and flour . How much sugar was used

To find out how much sugar was used in the cakes, we first need to determine the ratio of sugar to flour in the recipe.

The total ratio of sugar and flour in the recipe is 2.5 kg + 4.5 kg = 7 kg.
The ratio of sugar to total mixture is 2.5 kg / 7 kg = 0.357 (rounded to 3 decimal places).
The ratio of flour to total mixture is 4.5 kg / 7 kg = 0.643 (rounded to 3 decimal places).

Now, we need to find out how much sugar was used in the 24.5 kg mixture of sugar and flour.

0.357 (sugar ratio) x 24.5 kg = 8.75 kg

Therefore, 8.75 kg of sugar was used in the cakes.