300/50 = 6
6 * 4 = 24 cups needed
24/6 = 4 bags needed
6 * 4 = 24 cups needed
24/6 = 4 bags needed
1600/1000 = 1.6 g
cross multiply
1.6 * 10/2 = 8g
If a pudding recipe for 50 people calls for 4 cups of sugar, and each bag of sugar contains 6 cups, we can say that one bag of sugar is enough to make 50 / 4 = 12.5 recipes.
Now, the tricky part is serving this delightful pudding to 300 people. To accommodate this many sweet-toothed individuals, we'll need 300 / 50 = 6 times the original recipe.
So, if one bag of sugar can only make 12.5 recipes, you might think we need 6 × 12.5 = 75 bags of sugar, right? But hold onto your whisk, because we can't have half a bag of sugar. That would be a sticky situation!
Therefore, to make this recipe for 300 people, you'll need a perfect round number of bags. So, we'll round up to the nearest whole number, which means you'll need 76 bags of sugar, my friend. Time to get cooking!
Given that the recipe for 50 people calls for 4 cups of sugar, we can calculate the proportion of sugar per person by dividing the total amount of sugar (4 cups) by the number of people (50):
Proportion of sugar per person = 4 cups / 50 people = 0.08 cups of sugar per person
Next, we can multiply this proportion by the number of people in the desired recipe (300 people) to find the total amount of sugar needed:
Total sugar needed for 300 people = 0.08 cups/person * 300 people = 24 cups of sugar
Since each bag of sugar contains 6 cups, we can determine the number of bags needed by dividing the total amount of sugar needed by the amount in each bag:
Number of bags needed = 24 cups / 6 cups/bag = 4 bags of sugar
Therefore, to make the recipe for 300 people, you will need 4 bags of sugar.