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 point) h + 2115 = h = hours
The working equation is:
h + 2115 = 30
To solve for h, you would subtract 2115 from both sides of the equation:
h = 30 - 2115
h = -2085
Since the result is a negative value, it means that Richard has already worked more than 30 hours for the week.
The correct working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week is:
h + 21 + 21 + 15 = 30
Now, let's solve the equation step-by-step:
Step 1: Combine like terms on the left side of the equation.
2h + 36 = 30
Step 2: Subtract 36 from both sides of the equation to isolate the variable.
2h + 36 - 36 = 30 - 36
2h = -6
Step 3: Divide both sides of the equation by 2 to solve for h.
2h/2 = -6/2
h = -3
Therefore, Richard needs to work for -3 hours to reach 30 hours for the week. However, since it doesn't make sense to work for negative hours, we can conclude that there might be a mistake in the given information or the calculations.
To find out how many more hours Richard needs to work to reach a total of 30 hours for the week, we can set up the working equation, where h represents the number of additional hours he needs to work:
h + 2115 = 30
To solve this equation, we can isolate h by subtracting 2115 from both sides:
h = 30 - 2115
Calculating the right side of the equation:
h = -2085
So Richard needs to work an additional -2085 hours, which is not a valid value. It seems there may be a mistake in the information provided, as it is not possible for the number of additional hours to be negative.