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

Answer 1

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.