A baker used 4.05 kg of sugar for baking 9 cakes. how much sugar per cake was used?
The correct answer and explanation is:
The baker used 4.05 kg of sugar to bake 9 cakes. To find how much sugar was used per cake, we need to divide the total sugar by the number of cakes: Sugar per cake=4.05 kg9=0.45 kg per cake\text{Sugar per cake} = \frac{4.05 \text{ kg}}{9} = 0.45 \text{ kg per cake}
So, 0.45 kilograms of sugar was used for each cake.
Explanation (300 words)
To find the amount of sugar used per cake, you apply the concept of division, which is a fundamental operation in arithmetic. Division helps us split a total quantity into equal parts.
Here, the total amount of sugar (4.05 kilograms) was used evenly to bake 9 cakes. The problem asks for the amount of sugar used per cake, which means how much sugar is in each single cake if the sugar is divided equally among all cakes.
The formula to solve this is: Sugar per cake=Total sugarNumber of cakes\text{Sugar per cake} = \frac{\text{Total sugar}}{\text{Number of cakes}}
Breaking it down:
- Total sugar = 4.05 kg
- Number of cakes = 9
When you divide 4.05 by 9, you get: 4.05÷9=0.454.05 \div 9 = 0.45
This result tells us that each cake contains 0.45 kilograms of sugar.
Understanding units is crucial here. Since the total sugar is given in kilograms, the result will also be in kilograms, indicating the mass of sugar per cake.
In practical terms, 0.45 kilograms is equivalent to 450 grams (since 1 kg = 1000 grams). This means each cake used 450 grams of sugar.
This type of calculation is common in baking and cooking when scaling recipes up or down. If you want to make fewer or more cakes, knowing the amount of ingredients per cake helps adjust the recipe proportionally.
In summary, by dividing the total sugar by the number of cakes, you determine the sugar amount per cake, which is 0.45 kg.