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
If Stacy is able to paint 3/4 of the bedroom in 3 hours, it means she can paint 1/4 of the room in 1 hour since 3/4 divided by 3 is 1/4.
Therefore, it will take Stacy 4 hours to paint the entire room since 1/4 times 4 equals 1.
To find out how long it will take Stacy to paint the entire room, we need to determine the time it takes her to paint 1/4 of the room and then multiply that by 4.
Since Stacy can paint 3/4 of the room in 3 hours, we can set up a proportion to find the time it takes her to paint 1/4 of the room:
3/4 room / 3 hours = 1/4 room / x hours
To solve for x, we can cross-multiply:
(3/4) * x = (1/4) * 3
3x/4 = 3/4
Now, we can solve for x by multiplying both sides by 4/3:
x = (3/4) * (4/3)
x = 3/3
x = 1
Therefore, it will take Stacy 1 hour to paint 1/4 of the room. To paint the entire room, she would need to multiply this time by 4:
1 hour * 4 = 4 hours
So, it will take Stacy 4 hours to paint the entire room.
To find out how long it will take Stacy to paint the entire room, we can use the concept of proportions. We know that she can paint 3/4 of the room in 3 hours. Let's break down the problem step by step:
Step 1: Determine the proportion
We can set up a proportion to relate the fraction of the room painted to the time taken:
(Fraction of room painted) / (Time taken) = (Fraction of room to be painted) / (Total time)
Step 2: Plug in the given information
Let's plug in the given values into the proportion:
(3/4) / 3 = 1 / (Total time)
Step 3: Solve for the unknown
To solve for the total time, we need to isolate the variable. We can do this by cross-multiplying:
(3/4) * (Total time) = 3 * 1
Step 4: Simplify and solve for the unknown
Multiply both sides of the equation:
3 * (Total time) = (4/3) * 3
Now, simplify both sides:
3 * (Total time) = 4
Divide both sides by 3:
Total time = 4 / 3
The total time required for Stacy to paint the entire room is 4/3 hours. However, we can also convert this to a mixed number:
4/3 hours = 1 hour and 1/3 hour
So, it will take Stacy approximately 1 hour and 20 minutes to paint the entire room.