A recipe that serves two people calls for 1,600 milligrams of baking soda. You want to make enough for 10 people. How much baking soda do you need in grams
The correct answer and explanation is:
To calculate the amount of baking soda needed for 10 people, start by determining how much baking soda is required for one person. The recipe calls for 1,600 milligrams for two people, so for one person, divide 1,600 by 2:
1,600 milligrams ÷ 2 = 800 milligrams per person.
Now, since you want to make enough for 10 people, multiply the amount needed for one person by 10:
800 milligrams × 10 = 8,000 milligrams.
Next, convert 8,000 milligrams to grams. Since 1 gram equals 1,000 milligrams, divide the number of milligrams by 1,000:
8,000 milligrams ÷ 1,000 = 8 grams.
Therefore, you will need 8 grams of baking soda for 10 people.
Explanation:
Milligrams (mg) and grams (g) are both units used to measure mass, but grams are a larger unit. The conversion factor between milligrams and grams is that 1 gram equals 1,000 milligrams. To solve this, first figure out how much baking soda is required for one person, then scale up to the number of servings required for 10 people. Finally, to convert milligrams to grams, simply divide by 1,000, as you are moving from a smaller unit to a larger one.
By following this process, you ensure the recipe is properly adjusted for the increased number of servings, using correct unit conversions to achieve the desired amount of baking soda.