Here is the problem:. see my thought process below and let me know where I went wrong:
Eighty percent of the lights at Hotel California are switched on at 8 p.m. one evening. However, forty percent of the lights that are supposed to be switched off are actually switched on, and ten percent of the lights that are supposed to be switched on are actually switched off. What percent of the lights that are switched on are supposed to be switched off?
Im not good at using matrix, so this is what I did:
-start with 100 lights.
-80% of lights switched on ==> 80 lights are switched on, 20 lights are off.
-40% of the lights that are supposed to be off are actually on. ==> out of 80 lights on, 32 are supposed to be off, but are on.
- 10% of the lights that are supposed to be swtiched on are actually off. ==> 10% of 20 ==> 4 lights.
Question: what % of lights are switched on are supposed to be switched off?
Why is it not 32%. 32/100?
answer is 16 and 2/3%.
Eighty percent of the lights at Hotel California are switched on at 8 p.m. one evening. However, forty percent of the lights that are supposed to be switched off are actually switched on, and ten percent of the lights that are supposed to be switched on are actually switched off. What percent of the lights that are switched on are supposed to be switched off?
Im not good at using matrix, so this is what I did:
-start with 100 lights.
-80% of lights switched on ==> 80 lights are switched on, 20 lights are off.
-40% of the lights that are supposed to be off are actually on. ==> out of 80 lights on, 32 are supposed to be off, but are on.
- 10% of the lights that are supposed to be swtiched on are actually off. ==> 10% of 20 ==> 4 lights.
Question: what % of lights are switched on are supposed to be switched off?
Why is it not 32%. 32/100?
answer is 16 and 2/3%.
