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) h + 21 1/5 = h = hours
The correct working equation is:
h + 21 1/5 = 30
To solve the equation, we first need to convert the mixed number 21 1/5 into an improper fraction.
21 1/5 = 21 + 1/5 = 105/5 + 1/5 = 106/5
Now we can rewrite the equation:
h + 106/5 = 30
To isolate h, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by 5:
5 * (h + 106/5) = 5 * 30
This simplifies to:
5h + 106 = 150
Now, let's isolate the h term:
5h = 150 - 106
5h = 44
Finally, let's solve for h by dividing both sides of the equation by 5:
h = 44/5
Therefore, Richard needs to work approximately 8.8 hours to reach 30 hours for the week.