Every cupcake needs 2250 mg of flour. How many grams of flour are needed for 12 cupcakes?
The correct answer and explanation is:
To solve this, first convert the amount of flour from milligrams to grams. The given flour amount per cupcake is 2250 mg.
Since 1 gram equals 1000 milligrams, you can convert milligrams to grams by dividing by 1000. So, for one cupcake: 2250 mg÷1000=2.25 grams2250 \, \text{mg} \div 1000 = 2.25 \, \text{grams}
Now, to find the total amount of flour needed for 12 cupcakes, multiply the amount of flour for one cupcake by 12: 2.25 grams×12=27 grams2.25 \, \text{grams} \times 12 = 27 \, \text{grams}
Therefore, 27 grams of flour are needed for 12 cupcakes.
Explanation:
Flour amounts are typically provided in milligrams, but for larger quantities, grams are a more convenient unit. The conversion process is simple: 1000 milligrams make 1 gram. Once the conversion is done for one cupcake, multiplying by the number of cupcakes gives the total amount required. The reason why this approach is effective is that it simplifies the calculations, breaking the problem down into clear, manageable steps.
In this case, knowing the number of milligrams per cupcake helps to find the flour required for multiple cupcakes. By applying basic math and converting between metric units, you ensure the right amount of ingredients for baking. This method is universally used in recipes, where quantities need to be adjusted for different serving sizes.