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 answer

The number of hours Richard needs to work to reach 30 hours for the week can be represented by the equation:

30 - 21 1/5 = h

Simplifying the right side of the equation:

30 - (21 + 1/5) = h
30 - 21 - 1/5 = h
30 - 105/5 - 1/5 = h
30 - 106/5 = h
30 - 21 1/5 = h

Converting 21 1/5 to improper fraction:

21 + 1/5 = 21(5/5) + 1/5 = (105/5) + 1/5 = 106/5

Simplifying the equation:

30 - 106/5 = h
(150/5) - (106/5) = h
44/5 = h

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