If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of

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Question: If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?

Options:

Correct Answer: 6

Solution:

Using the ratio, if 3 cups of sugar require 2 cups of flour, then 9 cups of sugar require (2/3) * 9 = 6 cups of flour.

If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?

If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?

Step 1: Identify the ratio of flour to sugar from the recipe. The recipe says 2 cups of flour for every 3 cups of sugar.
Step 2: Write down the ratio as a fraction: 2 cups of flour / 3 cups of sugar.
Step 3: Determine how many cups of sugar you have. In this case, you have 9 cups of sugar.
Step 4: Set up a proportion using the ratio. You want to find out how many cups of flour (let's call it 'x') are needed for 9 cups of sugar: (2/3) = (x/9).
Step 5: Cross-multiply to solve for 'x': 2 * 9 = 3 * x.
Step 6: Calculate the left side: 2 * 9 = 18, so you have 18 = 3 * x.
Step 7: Divide both sides by 3 to find 'x': x = 18 / 3.
Step 8: Calculate the result: x = 6. This means you need 6 cups of flour for 9 cups of sugar.

Ratios and Proportions – Understanding how to use ratios to find equivalent quantities in a recipe.