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?(1 point)
Responses
4 hours
4 hours
12 hours
12 hours
6 hours
6 hours
9/4 hours
The correct answer is 4 hours.
To find out how long it will take Stacy to paint the entire room, we need to calculate the time it takes her to paint 1/4 of the room, and then multiply that by 4 since she has already painted 3/4.
To find the time it takes to paint 1/4 of the room, we divide the total time it takes (3 hours) by the total fraction painted (3/4):
3 hours / (3/4) = 4 hours.
So, it will take Stacy 4 hours to paint 1/4 of the room.
Since she has already painted 3/4 of the room, she needs to paint the remaining 1/4. If it takes her 4 hours to paint 1/4, then it will take her 4 * 4 = 16 hours to paint the entire room.
Therefore, the correct answer is:
16 hours.
To find out how long it will take for Stacy to paint the entire room, we need to determine the equivalent amount of time it takes her to paint the entire room based on the given information.
We are told that Stacy is able to paint 3/4 of the bedroom in 3 hours. This means that she paints 3/4 of the room every 3 hours.
To find out how long it takes her to paint the entire room, we can set up a proportional relationship. If we let x represent the time it takes her to paint the entire room, we can set up the following equation:
(3/4) / 3 = 1 / x
Now we can solve for x by cross-multiplying:
(3/4) * x = 3 * 1
3x/4 = 3
To isolate x, we can multiply both sides of the equation by 4/3:
x = 3 * 4/3
x = 12/3
Simplifying the fraction, we find that x = 4 hours.
Therefore, it will take Stacy 4 hours to paint the entire room.