Question Stacy is painting her bedroom. She is able to paint 34 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)

Question

Question Stacy is painting her bedroom. She is able to paint 34 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)

A. 6 hours
B. 9/4 hours
C. 4 hours
D. 12 hours

Answer 1

To find the answer, divide the total time it takes to paint the entire room by the amount of the room that can be painted in one hour.

Let x be the number of hours it will take Stacy to paint the entire room.
Then, the amount of the room that can be painted in one hour is 1/x, and the amount of the room that can be painted in 3 hours is 34/3.

So, 1/x = 34/3
To find x, cross multiply:
3 * 1 = 34 * x
3 = 34x
x = 3/34

Therefore, it will take Stacy 3/34 of an hour to paint the entire room, which is equal to 9/4 hours.
The answer is B. 9/4 hours.

Answer 2

To find how long it will take Stacy to paint the entire room, we can set up a proportion using the given information.

We know that Stacy can paint 34 of the room in 3 hours.

Let's set up the proportion:

34/3 = x/1

Where x represents the time it will take Stacy to paint the entire room.

To find the value of x, we can cross-multiply:

34 * 1 = 3 * x

34 = 3x

Now, we can solve for x by dividing both sides of the equation by 3:

34/3 = x

Using a calculator, we get x ≈ 11.33 hours.

So, the answer is not listed among the options given.

Answer 3

To answer this question, we need to find how much of the room Stacy can paint in 1 hour. We can do this by dividing the amount she can paint in 3 hours by 3.

34 divided by 3 equals 11 and 1/3.

Now, we know that Stacy can paint 11 and 1/3 of the room in 1 hour. To find out how long it will take her to paint the entire room, we can divide the total amount of the room that needs to be painted (which is 1 whole room) by the amount she can paint in 1 hour.

1 divided by 11 and 1/3 can be rewritten as 1 ÷ (34/3) by converting the mixed number into an improper fraction. To divide by a fraction, we can multiply by its reciprocal.

So, 1 ÷ (34/3) can be rewritten as 1 x (3/34).

Multiplying 1 by 3 and 34 by 1, we get 3 ÷ 34.

Therefore, it will take Stacy 3 ÷ 34 hours to paint the entire room.

Now, we can simplify this fraction. Since 34 and 3 do not share any common factors other than 1, we can't simplify it any further.

Thus, the answer is approximately 3 ÷ 34 hours, which is equal to 9/4 hours.

Therefore, the answer is B. 9/4 hours.