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

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Question: If a recipe needs 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 6 cups of sugar?

Options:

Correct Answer: 4

Solution:

For 6 cups of sugar, you need (2/3) * 6 = 4 cups of flour.

If a recipe needs 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 6 cups of sugar?

If a recipe needs 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 6 cups of sugar?

Step 1: Understand the ratio given in the recipe, which is 2 cups of flour for every 3 cups of sugar.
Step 2: Identify how many cups of sugar you have, which is 6 cups.
Step 3: Set up a proportion based on the ratio: (2 cups of flour / 3 cups of sugar) = (x cups of flour / 6 cups of sugar).
Step 4: To find x (the amount of flour needed), you can cross-multiply: 2 * 6 = 3 * x.
Step 5: This gives you the equation: 12 = 3x.
Step 6: Solve for x by dividing both sides by 3: x = 12 / 3.
Step 7: Calculate the result: x = 4 cups of flour.

Ratio and Proportion – Understanding the relationship between quantities in a recipe and how to scale them based on given ratios.