Question

A recipe calls for 1/2 cup of water for every 3/4 cup of flour. How much water is needed to mix with 1 cup of flour?

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97 Answers

1. Start with the given ratio:

\frac{1}{2} \ : \ \frac{3}{4}

2. Set up the proportion with \( x \) representing the unknown amount of water for 1 cup of flour:

\frac{1}{2} \ : \ \frac{3}{4} = x \ : 1

3. Cross-multiply to solve for \( x \):

\frac{1}{2} \times 1 = x \times \frac{3}{4}

4. Simplify the equation:

\frac{1}{2} = \frac{3}{4} x

5. Solve for \( x \):

x = \frac{1/2}{3/4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}

Therefore, the amount of water needed is

\frac{2}{3} \text{ cup of water}

2. Set up the proportion with \( x \) representing the unknown amount of water for 1 cup of flour:

3. Cross-multiply to solve for \( x \):

4. Simplify the equation:

5. Solve for \( x \):

Therefore, the amount of water needed is

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