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 2115

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 answer

To find out how many more hours Richard needs to work for the week, we can set up the equation based on the information provided.

Let \( h \) be the number of hours Richard needs to work in order to reach a total of 30 hours for the week.

Richard has already worked 21.15 hours. Therefore, the equation representing the total hours worked is:

\[ 21.15 + h = 30 \]

Now, we can solve for \( h \):

  1. Subtract 21.15 from both sides of the equation:

\[ h = 30 - 21.15 \]

  1. Calculate the right side:

\[ h = 8.85 \]

So, Richard needs to work 8.85 hours more to reach a total of 30 hours for the week.