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.(1 point)

1 answer

The working equation that represents the number of hours Richard needs to work to reach 30 hours for the week is:
30 - 21 1/5 = h

To solve this equation, we need to first convert 21 1/5 to an improper fraction:
21 1/5 = (21 * 5 + 1)/5 = 106/5

Now we substitute this value into the equation:
30 - 106/5 = h

To simplify the equation, we find a common denominator of 5:
(150/5) - (106/5) = h
(150 - 106)/5 = h
44/5 = h

Therefore, Richard needs to work 44/5 hours to reach 30 hours for the week.