Using a conversion factor of 0.65, if a recipe calls for 12 cups of chicken broth, what is the new quantity?

Using a conversion factor of 0.65, if a recipe calls for 12 cups of chicken broth, what is the new quantity?

• A. 12 cups
• B. 9.6 cups
• C. 2.4 cups
• D. 7.8 cups

Answer: (D)

When you scale a recipe amount with a conversion factor, you multiply the original quantity by that factor to get the new amount. Since the factor is 0.65, you reduce the amount: 12 cups × 0.65 = 7.8 cups. Quick check: 0.65 × 12 = (0.65 × 10) + (0.65 × 2) = 6.5 + 1.3 = 7.8. Another way: 0.65 is 13/20, so 12 × 13/20 = 7.8. The other numbers would come from using different factors (for example, 12 with no change, or a factor like 0.8 or 0.2). The new quantity is 7.8 cups.

When you scale a recipe amount with a conversion factor, you multiply the original quantity by that factor to get the new amount. Since the factor is 0.65, you reduce the amount: 12 cups × 0.65 = 7.8 cups. Quick check: 0.65 × 12 = (0.65 × 10) + (0.65 × 2) = 6.5 + 1.3 = 7.8. Another way: 0.65 is 13/20, so 12 × 13/20 = 7.8. The other numbers would come from using different factors (for example, 12 with no change, or a factor like 0.8 or 0.2). The new quantity is 7.8 cups.