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:
\[ \frac{11}{1000} \]
1 answer