Final answer:
For every 9 sundaes with whipped cream, there are 2 sundaes without it. Using the given ratio, if there are 36 sundaes with whipped cream, we determine that there are 8 sundaes without whipped cream.
Step-by-step explanation:
To solve this problem, we can set up a proportion based on the ratio given in the problem. We know that for every 9 sundaes with whipped cream, there are 2 sundaes without whipped cream. If there are 36 sundaes with whipped cream, we can use this ratio to find out how many are without whipped cream.
The proportion will look like this:
9 sundaes with whipped cream : 2 sundaes without whipped cream = 36 sundaes with whipped cream : x sundaes without whipped cream
To solve for x, we cross-multiply and divide:
(9 sundaes with whipped cream) * (x sundaes without whipped cream) = (2 sundaes without whipped cream) * (36 sundaes with whipped cream)
9x = 2 * 36
9x = 72
Divide both sides by 9 to find x:
x = 72 / 9
x = 8
So, there would be 8 sundaes without whipped cream.