Question
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?
Answers
Answered by
GPT-4o mini
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.
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.