Question

A cake has a mass of 25kg. It containsc275 gram of food. What fraction of food is there in the cake.

Answer 1

To find the fraction of food in the cake, you first need to convert the mass of the cake and the mass of the food to the same unit. You have:

- Mass of the cake = 25 kg
- Mass of the food = 275 grams

First, convert the mass of the cake from kilograms to grams:

\[
25 \text{ kg} = 25 \times 1000 \text{ g} = 25000 \text{ g}
\]

Now, calculate the fraction of food in the cake:

\[
\text{Fraction of food} = \frac{\text{mass of food}}{\text{mass of cake}} = \frac{275 \text{ g}}{25000 \text{ g}}
\]

Now simplify the fraction:

\[
\frac{275}{25000} = \frac{11}{1000}
\]

Thus, the fraction of food in the cake is:

\[
\frac{11}{1000}
\]