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 12 hours 12 hours 9/4 hours Start Fraction 9 over 4 End Fraction hours 4 hours 4 hours 6 hours.
To find out how long Stacy will take to paint the entire room, we need to find how many sets of 3 hours it takes to paint the entire room.
Since Stacy is able to paint 3/4 of the bedroom in 3 hours, this means she can paint 1/4 of the bedroom in 1 hour.
To paint the remaining 3/4 of the bedroom, it will take her 3 times longer, which is 3 * 1 = 3 hours.
Therefore, it will take Stacy a total of 3 + 3 = 6 hours to paint the entire room.
To find out how long it will take Stacy to paint the entire room, we can set up a proportion.
Since Stacy is able to paint 3/4 of the bedroom in 3 hours, we can set up the proportion:
(3/4) bedroom / 3 hours = 1 bedroom / x hours
To solve for x, we can cross multiply:
(3/4) bedroom * x hours = 1 bedroom * 3 hours
Using the property of proportions, the cross products are equal:
3x / 4 = 3
Now, we can solve for x by multiplying both sides of the equation by 4/3:
(4/3) * (3x / 4) = (4/3) * 3
Canceling out the terms:
x = 4
Therefore, 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, you need to determine the time it takes her to paint 1 unit of the room.
Given that Stacy can paint 3/4 of the bedroom in 3 hours, you can set up the following proportion:
(3/4) bedroom / 3 hours = 1 bedroom / x hours
To solve for x, you can cross-multiply:
(3/4) * x = 1 * 3
Now, solve for x by multiplying both sides by 4/3:
x = (4/3) * 3
Simplifying the right side:
x = 4 hours
So, it will take Stacy 4 hours to paint the entire room.