How much flour do I need for a cake recipe with a flour to sugar ratio of 5:2 if I have 12kg of sugar?

Answer 1

To find out how much flour you need based on a flour to sugar ratio of 5:2 and having 12 kg of sugar, you can set up a proportion based on the ratio.

1. The ratio of flour to sugar is 5:2. This means for every 5 parts of flour, there are 2 parts of sugar.
2. Let's denote the amount of flour as \( F \) and the amount of sugar as \( S \). According to the ratio:

\[ \frac{F}{S} = \frac{5}{2} \]

3. You have 12 kg of sugar, so \( S = 12 \) kg. Now, you can plug in the sugar amount into the ratio:

\[ \frac{F}{12} = \frac{5}{2} \]

4. Now, solve for \( F \):

\[ F = 12 \times \frac{5}{2} \]

5. Calculate \( F \):

\[ F = 12 \times 2.5 = 30 \text{ kg} \]

Therefore, you need 30 kg of flour for your cake recipe.