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

h = 30 - (21 1/5)

To solve the equation, first convert 21 1/5 to a mixed fraction:

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

Now substitute this value into the equation:

h = 30 - (106/5)

To simplify the equation, subtract the fractions:

h = 30 - (106/5) = 30/1 - 106/5 = (150/5) - (106/5) = 44/5

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