Final answer:
To find the difference between the number of condos available at Sunset Beach and Playa Del Mar, we need to set up an equation and solve for the unknown. The number of timeshare condos available at Sunset Beach is 3/5 of the number available at Playa Del Mar. By solving the equation, we find that the difference is 60 condos.
Step-by-step explanation:
To solve this problem, we can set up an equation. Let's say the number of timeshare condos available at Playa Del Mar is x. According to the question, the number of condos available at Sunset Beach is 3/5 of x, or 3/5x.
So, the total number of condos available at both beaches is x + 3/5x = 240. We can combine the like terms to get 8/5x = 240.
To solve for x, we divide both sides of the equation by 8/5, which is the same as multiplying by its reciprocal, 5/8. Simplifying, we get x = 240 * 5/8 = 150.
Therefore, the number of condos available at Sunset Beach is 3/5 * 150 = 90, and the difference between the number of condos available at Sunset Beach and Playa Del Mar is 150 - 90 = 60.