holly spend 7 and 3/5 hours in school each day. her lunch period is 1/2 hour long, and she spends a total of 7/10 hour switching rooms between classes.the rest of her day is spent in 6 classes that are all same length. how long is each class?
To find out how long each class is, we need to subtract the time Holly spends on lunch and switching rooms from her total time in school per day.
Holly spends 7 and 3/5 hours in school each day. We can also write this as a mixed fraction: 7 + 3/5 = 35/5 + 3/5 = 38/5 hours.
We know her lunch period is 1/2 hour long and she spends a total of 7/10 hour switching rooms between classes.
So, the total time Holly spends on lunch and switching rooms is 1/2 + 7/10 = 5/10 + 7/10 = 12/10 = 6/5.
To find the time spent in classes, we subtract the lunch and switching time from the total time in school:
38/5 - 6/5 = (38-6)/5 = 32/5.
Since Holly spends the rest of her day in 6 classes of the same length, we can divide the total class time (32/5) by the number of classes (6) to find the length of each class.
32/5 ÷ 6 = (32/5) × (1/6) = 32/(5*6) = 32/30 = 16/15.
Therefore, each class is 16/15 hours long.