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

Practice Questions

Q1
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?
  1. 6
  2. 8
  3. 9
  4. 10

Questions & Step-by-Step Solutions

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.
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