Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?
Options:
9/4 hours
12 hours
6 hours
4 hours
To find out how long it will take Stacy to paint the entire room, we need to determine how long it will take her to paint 1/4 of the room, as she can already paint 3/4 of the room in 3 hours.
If Stacy can paint 3/4 of the room in 3 hours, we can divide 3 hours by 3/4 to find out how long it takes her to paint 1/4 of the room.
3 hours ÷ 3/4 = 3 hours × 4/3 = 12/3 = 4 hours.
Therefore, it will take Stacy 4 hours to paint 1/4 of the room, and since the entire room consists of 4 quarters, it will take her 4 hours × 4 = 16 hours to paint the entire room.
None of the given options matches the correct answer.
To find out how long it will take Stacy to paint the entire room, we need to determine the amount of time it takes her to paint 1/4 of the room.
Since she can paint 3/4 of the room in 3 hours, we can divide the total time by the fraction of the room she can paint in that time:
3 hours ÷ 3/4 of the room = 3 hours × 4/3 = 12/3 = 4 hours.
Therefore, it will take Stacy 4 hours to paint the entire room.
To solve this problem, we need to find out how long it takes Stacy to paint 1/4 of the bedroom, and then multiply that by 4 to find the total time needed to paint the entire room.
We are given that Stacy can paint 3/4 of the bedroom in 3 hours. To find out how long it takes to paint 1/4 of the bedroom, we can divide the total time by the total area painted. So, 3 hours divided by 3/4 is:
3 hours ÷ 3/4 = 3 hours × 4/3 = 12/3 = 4 hours
Therefore, it takes Stacy 4 hours to paint 1/4 of the bedroom. To find the total time needed to paint the entire room, we multiply this by 4:
4 hours × 4 = 16 hours
So, the correct option is: 16 hours.