A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups

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Question: A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups of flour, how many cups of sugar do you need?

Options:

Correct Answer: 6

Solution:

Using the ratio 3:2, if 3 cups of flour require 2 cups of sugar, then 12 cups of flour will require (2/3) × 12 = 8 cups of sugar.

A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups of flour, how many cups of sugar do you need?

A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups of flour, how many cups of sugar do you need?

Step 1: Identify the ratio of flour to sugar from the recipe, which is 3 cups of flour for every 2 cups of sugar.
Step 2: Understand that this means for every 3 cups of flour, you need 2 cups of sugar.
Step 3: Determine how many times the amount of flour you have (12 cups) fits into the ratio (3 cups).
Step 4: Calculate how many times 3 cups goes into 12 cups: 12 divided by 3 equals 4.
Step 5: Since you need 2 cups of sugar for every 3 cups of flour, multiply the number of times (4) by 2 cups of sugar: 4 times 2 equals 8.
Step 6: Conclude that you need 8 cups of sugar for 12 cups of flour.

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