To find the number of hours Richard needs to work to reach 30 hours for the week, let's first find the number of hours he has already worked.
For the first three days of the week, Richard worked 21 1/5 hours.
To find the total number of hours Richard has worked, we need to change 21 1/5 to an improper fraction.
21 1/5 = (21*5 + 1)/5 = 106/5
So, Richard has worked a total of 106/5 hours in the first three days of the week.
To find the number of hours Richard still needs to work to reach 30 hours, we can subtract the number of hours he has already worked from the total number of hours he needs to work.
Let h represent the number of hours Richard still needs to work to reach 30 hours.
The working equation is:
h = 30 - 106/5
To solve the equation, we need to simplify the right side:
h = 150/5 - 106/5
h = (150 - 106)/5
h = 44/5
So, Richard still needs to work 44/5 hours to reach 30 hours for the week.
During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h , Richard needs to work to reach 30 hours for the week and solve the equation.
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