To find the fraction, multiply the number of tech enthusiasts by one-half and then multiply that result by one-seventh. The final fraction is 7/100.
To find the fraction of tech-savvy genius islanders who have both the smart hammocks and AI-controlled wind-resistant grass huts, we need to find the intersection of these two groups. First, we calculate how many islanders have smart hammocks by multiplying the total number of tech enthusiasts by one-half. Then, we calculate how many islanders have both smart hammocks and AI-controlled grass huts by multiplying the number of islanders with smart hammocks by one-seventh. Finally, we express this fraction in fully reduced form.
Let's break it down step by step:
Number of tech enthusiasts with smart hammocks = 200 (given)
Number of tech enthusiasts with both smart hammocks and AI-controlled grass huts = (200 / 2) * (1 / 7) = 14
The fraction of tech-savvy genius islanders who have both smart hammocks and AI-controlled wind-resistant grass huts is 14/200, which can be further reduced to 7/100.
The probable question may be:
On Genius Island, a group of tech-savvy islanders decided to enhance their comfort with smart hammocks and wind-resistant grass huts. One-half of these tech enthusiasts equipped their hammocks with AI-powered sensors for optimal relaxation, and one-seventh of that tech-savvy group also implemented advanced climate control technology in their wind-resistant grass huts. What fraction of the tech-savvy genius islanders has both the smart hammocks and AI-controlled wind-resistant grass huts? Please express your answer in fully reduced form.
Imagine that each smart hammock is equipped with a temperature-regulating system, and the wind-resistant grass huts feature AI algorithms to adjust the internal environment based on weather conditions. If 200 tech-savvy islanders own smart hammocks, how many of them would also have wind-resistant grass huts with advanced climate control?