Question

In a certain dough recipe, water must be 1/11 of the total volume of ingredients (flour, eggs, etc.) in order for the dough to have a specific consistency. The total volume of ingredients in a given batch of dough is 10 1/6 cups. Which equation below correctly represents how much water must be added? Assume all answers are in cups.

Answer 1

To find how much water must be added in a dough recipe, set up a proportion. Given that water must be 1/11 of the total volume of ingredients in the dough, and the total volume of ingredients is 10 1/6 cups, we can find the amount of water needed. Therefore, you will need to add 1 5/66 cups of water to the dough recipe.

Step-by-step explanation:

To find how much water must be added in a dough recipe, we can set up a proportion. Given that water must be 1/11 of the total volume of ingredients in the dough, and the total volume of ingredients is 10 1/6 cups, we can set up the proportion:

1/11 cups/total volume = x cups/10 1/6 cups

To solve for x, we cross multiply and divide:

x = (1/11) * (10 1/6)

Now, let's calculate:

1. Convert mixed number to an improper fraction: 10 1/6 = 61/6
2. Multiply the fractions: (1/11) * (61/6) = 61/66
3. Convert the improper fraction to a mixed number: 61/66 = 1 5/66

Therefore, you will need to add 1 5/66 cups of water to the dough recipe.