A recipe that serves 6 people needs to be doubled to serve a dinner party of 12. The original recipe calls for 3 3/4quarts of milk. How many quarts of milk should you use to double the recipe?
Please break it down for me, I've tried so many different equations only for the answer to be wrong!
I figured it out, 6/12 simplifies to 1/2 and 3 3/4 = 15/4. Do (2/1)(15/4), your answer will be 30/4. The mixed number will be 7 2/4. Simplify it to 7 1/2.
3 3/4 = 3 + 3 / 4 = 12 / 4 + 3 / 4 = 15 / 4
2 ∙ 3 3 /4 = 2 ∙ 15 / 4 = 2 ∙ 15 / 2 ∙ 2 = 15 / 2
= ( 14 + 1 ) / 2 = 14 / 2 + 1 / 2 = 7 + 1 / 2 = 7 1/2
Your answer is correct.
To double the recipe, we need to determine how much milk is needed for each serving and then multiply it by the number of servings in the increased recipe.
In the original recipe, it says that 3 3/4 quarts of milk is needed to serve 6 people.
To find the amount of milk needed per serving, we divide the total amount of milk (3 3/4 quarts) by the number of servings (6):
3 3/4 quarts ÷ 6 servings = 3/4 quarts per serving
Now, since we want to double the recipe to serve 12 people, we need to multiply the amount of milk per serving (3/4 quarts) by the number of servings (12):
3/4 quarts per serving × 12 servings = 9 quarts of milk
Therefore, to double the recipe, you should use 9 quarts of milk.
Remember, when doubling a recipe, it is important to multiply every ingredient by the same factor to maintain the correct proportions.