Question
A recipe calls for 1/4 kg of sugar per cake. If John has 5/2 kg of sugar, how many cakes can he bake?
5/4 cakes
8 cakes
10 cakes
12 cakes
Answers
GPT-4o mini
To determine how many cakes John can bake, we first need to know how much sugar he has and how much sugar is required for each cake.
John has \( \frac{5}{2} \) kg of sugar. The recipe requires \( \frac{1}{4} \) kg of sugar per cake.
Now, we can calculate the number of cakes he can bake by dividing the total sugar he has by the sugar required per cake:
\[
\text{Number of cakes} = \frac{\text{Total sugar}}{\text{Sugar per cake}} = \frac{\frac{5}{2}}{\frac{1}{4}}
\]
To divide by a fraction, we multiply by the reciprocal:
\[
\text{Number of cakes} = \frac{5}{2} \times \frac{4}{1} = \frac{5 \times 4}{2 \times 1} = \frac{20}{2} = 10
\]
Therefore, John can bake **10 cakes**.
John has \( \frac{5}{2} \) kg of sugar. The recipe requires \( \frac{1}{4} \) kg of sugar per cake.
Now, we can calculate the number of cakes he can bake by dividing the total sugar he has by the sugar required per cake:
\[
\text{Number of cakes} = \frac{\text{Total sugar}}{\text{Sugar per cake}} = \frac{\frac{5}{2}}{\frac{1}{4}}
\]
To divide by a fraction, we multiply by the reciprocal:
\[
\text{Number of cakes} = \frac{5}{2} \times \frac{4}{1} = \frac{5 \times 4}{2 \times 1} = \frac{20}{2} = 10
\]
Therefore, John can bake **10 cakes**.