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
9/4 hours
4 hours
12 hours
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 set up a proportion.
Given:
Stacy can paint 3/4 of the room in 3 hours.
Let x be the unknown time it takes her to paint the entire room.
The proportion can be set up as:
(3/4) / 3 = 1 / x
To solve for x, we can cross-multiply:
(3/4) * x = 3 * 1
Simplifying, we get:
3x/4 = 3
Now, to solve for x, we can multiply both sides of the equation by 4/3:
(3x/4) * (4/3) = 3 * (4/3)
Simplifying further, we get:
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, we can set up a proportion.
We know that Stacy can paint 3/4 of the room in 3 hours. This means that in 1 hour, she can paint 1/3 of 3/4 of the room.
To find out how long it will take her to paint the entire room, we need to find the value of 1/3 of 3/4.
To do this, we multiply the numerators together (1 x 3) and multiply the denominators together (3 x 4).
1/3 x 3/4 = (1 x 3) / (3 x 4) = 3/12 = 1/4
So, in 1 hour, Stacy can paint 1/4 of the room.
To find out how long it will take her to paint the entire room, we need to divide 1 (the whole room) by 1/4 (the amount she can paint in 1 hour).
1 ÷ 1/4 = 1 x 4/1 = 4/1 = 4
So, it will take Stacy 4 hours to paint the entire room.
Therefore, the correct answer is 4 hours.