Question

A dough recipe calls for 3 cups of flour and 1 1/4 cups of water. You want to use the same ratio of flour to water to make a dough with 10 cups of flour. How much water should you use. Solve this problems by setting up an equation in which you set up two fractions equal to each other

Answer 1

To find out how much water is needed for 10 cups of flour based on the original dough recipe's ratio, you can set up a proportion as an equation. Solving 3/1.25 = 10/x, you cross-multiply and divide to find that approximately 4 1/6 cups of water is needed.

Step-by-step explanation:

To solve how much water you should use for 10 cups of flour based on the original dough recipe ratio, you can set up an equation using proportions.

First, write down the original ratio which is 3 cups of flour to 1 1/4 cups of water, this can be expressed as a fraction 3/1.25. Next, you want to find out how much water is needed for 10 cups of flour, so set up a proportion where the two ratios are equal to each other:

3/1.25 = 10/x

Now, cross-multiply to solve for x, which represents the amount of water you need:

3x = 10 × 1.25

3x = 12.5

Divide both sides by 3 to solve for x:

x = 12.5 / 3

x = 4.1666667

Therefore, you will need approximately 4 1/6 cups of water for 10 cups of flour to keep the same ratio as the original recipe.