Unit Rates with Ratios of Fractions Quick Check
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Question
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
12 hours
12 hours
4 hours
4 hours
94 hours
To find the amount of time it will take Stacy to paint the entire room, we can set up a proportion using the ratio of the fraction of the bedroom she can paint in a certain amount of time.
Let x be the number of hours it will take Stacy to paint the entire room.
The proportion can be set up as:
(3/4) / 3 = 1 / x
Cross multiplying, we get:
3x = 4 * 3
3x = 12
x = 12 / 3
x = 4
Therefore, it will take Stacy 4 hours to paint the entire room.
The correct answer is 4 hours.