Rob practiced 3/5 of his music in 25 minutes. About how long did it take him to practice all his music?
(3/5)25 = (5/5)x
3/5x = 25
x = 25 / 3/5
x = 25 * (5/3)
x = 125 / 3
x = 41.67 or about 42 minutes
To find how long it took Rob to practice all his music, we can set up a proportion. We know that Rob practiced 3/5 of his music in 25 minutes.
Let x represent the total amount of time it took him to practice all his music.
We can set up the proportion:
(3/5) / 25 = 1 / x
To solve this proportion, we can cross-multiply and solve for x:
(3/5) * x = 25 * 1
Multiplying both sides:
3x / 5 = 25
Next, we can multiply both sides by 5 to isolate 3x:
3x = 25 * 5
Simplifying:
3x = 125
Lastly, divide both sides by 3 to solve for x:
x = 125 / 3
Therefore, it took Rob approximately 41.67 minutes to practice all his music.