Answer :
Leah practices [tex]\frac{1}{2}[/tex] hour more than Sonia, as Leah practices for [tex]2\frac{1}{2}[/tex]hours weekly, while Sonia practices for 2 hours, which is 0.8 times Leah's time.
Leah practices dance for 2(1)/(2) hours each week. To find out how much more time Leah practices than Sonia, we need to calculate the difference between Leah's practice time and Sonia's practice time.
Leah's practice time = 2(1)/(2) hours
Sonia's practice time = 0.8 × Leah's practice time
Let's calculate Sonia's practice time:
Sonia's practice time = 0.8 × (2(1)/(2))
Now simplify the expression:
Sonia's practice time = 0.8 × 2.5
Sonia's practice time = 2 hours
Now, find the difference between Leah's and Sonia's practice time:
Difference = Leah's practice time - Sonia's practice time
Difference = 2(1)/(2) - 2
To subtract, convert 2(1)/(2) to an improper fraction:
Difference = (5/2) - 2
Now, find a common denominator, which is 2:
Difference = (5/2) - (4/2)
Now subtract the numerators:
Difference = 1/2
So, Leah practices 1/2 hour more than Sonia each week.
Complete Question:
Leah practices dance for 2(1)/(2) hours each week. Her younger sister Sonia practices dance for 0.8 the amount of time Leah practices. How much more time does Leah practice than Sonia?
Final answer:
Sonia practices for 1.6 hours or 96 minutes each week, which is 0.8 times Leah's practice duration of 2 hours per week.
Explanation:
The student is asking about Leah's dance practice duration compared to her younger sister Sonia's. Leah practices for 2 hours each week.
In this question, Leah practices dance for 2 hours each week.
Her sister Sonia practices dance for 0.8 (or 80%) of the time Leah practices.
We can find the amount of time Sonia practices by multiplying 0.8 by 2:
To find out how long Sonia practices, we multiply Leah's practice time by 0.8 since Sonia practices for 0.8 the amount of time Leah does.
Thus, Sonia's practice time would be 2 hours × 0.8 = 1.6 hours or 96 minutes per week.
