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)
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.