Final answer:
To maintain the ratio of chili powder to garlic salt from the original recipe, 8 teaspoons of chili powder are needed for 6 teaspoons of garlic salt.
Step-by-step explanation:
The question is asking how much chili powder is needed if using 6 teaspoons of garlic salt based on a recipe that originally uses 12 teaspoons of chili powder for 9 teaspoons of garlic salt. To find the answer, we set up a proportion, since the amount of chili powder is directly proportional to the amount of garlic salt. The original recipe calls for 12 teaspoons of chili powder for every 9 teaspoons of garlic salt. To maintain the ratio, we calculate the corresponding amount for 6 teaspoons of garlic salt:
\(\frac{12 \text{ teaspoons of chili powder}}{9 \text{ teaspoons of garlic salt}} = \frac{x \text{ teaspoons of chili powder}}{6 \text{ teaspoons of garlic salt}}\)
Solving for x gives us:
\(x = \frac{12 \times 6}{9}\)
\(x = 8\)
So, 8 teaspoons of chili powder are needed for 6 teaspoons of garlic salt.