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
6 hours
6 hours
9/4 hours
Start Fraction 9 over 4 End Fraction hours
12 hours
12 hours
4 hours
9/4 hours
To find out how long it will take Stacy to paint the entire room, we can use the information that she is able to paint 3/4 of the room in 3 hours.
Step 1: Find out how much of the room Stacy can paint in 1 hour.
We can do this by dividing 3/4 by 3:
(3/4) ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4
Step 2: Determine how long it will take Stacy to paint the entire room.
Since Stacy can only paint 1/4 of the room in 1 hour, it will take her 4 hours to paint the entire room.
Therefore, the correct answer is 4 hours.
To find the answer, we need to determine how long it takes Stacy to paint 1/4 of the room, as she can paint this amount in 3 hours.
To do this, we can divide 3 hours by 3/4 of the room.
Dividing 3 hours by 3/4 is the same as multiplying 3 hours by the reciprocal of 3/4, which is 4/3.
So, we have:
3 hours * 4/3 = 12/3 = 4 hours.
Therefore, it will take Stacy 4 hours to paint 1/4 of the room.
Since the entire room consists of 4 quarters, Stacy will need to multiply the time taken to paint 1/4 of the room by 4:
4 hours * 4 = 16 hours.
Hence, it will take Stacy 16 hours to paint the entire room.