Final answer:
We can solve this problem using the concept of inverse variation to determine how much time it would take 18 scouts to sell the same amount of cookies that 15 scouts sell in 24 days.
Step-by-step explanation:
We can solve this problem using the concept of inverse variation. Inverse variation states that if two variables are inversely proportional, then their product is constant. In this case, the number of cookies sold and the time taken to sell them are inversely proportional.
We know that 15 scouts can sell all the cookies in 24 days. Let's represent the number of days it would take 18 scouts to sell the same amount of cookies as X.
Using the inverse variation concept, we can set up the following equation: 15 * 24 = 18 * X. Now, we can solve for X:
15 * 24 = 18 * X
360 = 18 * X
X = 360/18
X = 20
Therefore, it would take 18 scouts 20 days to sell the same amount of cookies.