Answer: 1.78 teaspoons
Step-by-step explanation:
The recipe says: 27 cookies/2 teaspoons Vanilla extract. Let's abbreviation this conversion factor as (27/2)C/V, where C is cookie and V is 1 teaspoon vanilla extract. We have both 13.5C/V and 1V/13.5C as conversion factors. 13.5 cookies is equivalent to 1 teaspoon vanilla, or 1 teaspoon vanilla is equivalent to 13.5 cookies. We can multiply ofr divide either of these factors, since they are both equivalent to 1, and you can mukltiply or divide anything by 1 without changing it's accuracy. The atual numbers will change, but the units will also change, making it a valid result.
We want 24 cookies. Use one of the conversion factors to find the teaspoons vanilla extract required:
1) We can divide by (27C/2V)
24C/((27C/2V) = 1.78 teaspoons
or
2) we can multiply by (1V/13.5C)
24C*(1V/13.5C) = 1.78 teaspoons
