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
To find out how many hours Richard needs to work to reach 30 hours for the week, we can subtract the hours he has already worked from the total number of hours he needs to work.
Total hours Richard needs to work for the week: 30 hours
Hours Richard has already worked: 21 1/5 hours
To subtract mixed numbers, we need to convert them to improper fractions:
21 1/5 = (21 * 5 + 1)/5 = 106/5
Now we can subtract:
30 hours - 106/5 hours = 150/5 hours - 106/5 hours = 44/5 hours
So, the working equation that represents the number of hours Richard needs to work to reach 30 hours for the week is:
h = 44/5
To solve the equation, we need to find the value of h. To do that, we multiply both sides of the equation by 5:
5h = 44
Next, we divide both sides of the equation by 5:
h = 44/5
So, Richard needs to work 8 and 4/5 hours to reach 30 hours for the week.