To solve this problem, we can set up a proportion.
If Stacy can paint 3/4 of the bedroom in 3 hours, we can say:
3 hours = 3/4 of the bedroom
To find out how long it will take her to paint the entire room, we can set up the proportion:
3 hours / (3/4 of the bedroom) = x hours / (1 bedroom)
To simplify this proportion, we can multiply both sides by the reciprocal of (3/4 of the bedroom):
3 hours * (4/3 of the bedroom) = x hours
Canceling out common factors:
4 hours = x hours
Therefore, it will take Stacy 4 hours to paint the entire room.
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? Fractions
5 answers
Miguel is returning from a trip. In 4 hours, he has driven 2/ of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination? Fractions
To solve this problem, we can set up a proportion.
If Miguel has driven 2/3 of the total distance in 4 hours, we can say:
4 hours = 2/3 of the total distance
To find out how long the total drive will take, we can set up the proportion:
4 hours / (2/3 of the total distance) = x hours / (1 total distance)
To simplify this proportion, we can multiply both sides by the reciprocal of (2/3 of the total distance):
4 hours * (3/2 of the total distance) = x hours
Canceling out common factors:
6 hours = x hours
Therefore, it will take Miguel 6 hours to reach his destination.
If Miguel has driven 2/3 of the total distance in 4 hours, we can say:
4 hours = 2/3 of the total distance
To find out how long the total drive will take, we can set up the proportion:
4 hours / (2/3 of the total distance) = x hours / (1 total distance)
To simplify this proportion, we can multiply both sides by the reciprocal of (2/3 of the total distance):
4 hours * (3/2 of the total distance) = x hours
Canceling out common factors:
6 hours = x hours
Therefore, it will take Miguel 6 hours to reach his destination.
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor? Fractions
To solve this problem, we can set up a proportion.
If Iris completes 2/3 of the floor in 1/3 of an hour, we can say:
1/3 hour = 2/3 of the floor
To find out how long it will take her to complete the entire floor, we can set up the proportion:
1/3 hour / (2/3 of the floor) = x hours / (1 floor)
To simplify this proportion, we can multiply both sides by the reciprocal of (2/3 of the floor):
1/3 hour * (3/2 of the floor) = x hours
Canceling out common factors:
1/2 hour = x hours
Therefore, it will take Iris 1/2 hour to complete the entire floor.
If Iris completes 2/3 of the floor in 1/3 of an hour, we can say:
1/3 hour = 2/3 of the floor
To find out how long it will take her to complete the entire floor, we can set up the proportion:
1/3 hour / (2/3 of the floor) = x hours / (1 floor)
To simplify this proportion, we can multiply both sides by the reciprocal of (2/3 of the floor):
1/3 hour * (3/2 of the floor) = x hours
Canceling out common factors:
1/2 hour = x hours
Therefore, it will take Iris 1/2 hour to complete the entire floor.
7 answers