Math Question: Paulina has completed 24 of the 42 math problems she was assigned for homework. She plans to finish her homework by completing 9 math problems per hour (h). Write an equation to find the number of hours it will take Paulina to complete her math homework assignment.
Math questions completed: 24 math problems
Total math problems: 42
Math problems remaining: 42 -24
Math problems to solve or work on: 18
Number of hours taken to complete 9 problems = 1 h
Number of hours used to complete 18 math problems = 18/9
Duration time used = 2 hours (h)
Pauline took 2 hours to solve 18 math problems.
Formula Used
Total number of math assignment questions = T
Problems already solved = C
Problems solved per hour = P
Time needed to complete the remaining part of the assignment = h
h = (T-C)/P
Creating an Equation
An equation is needed to help compute the duration of time used to solve the rest of the math problems.
T = 42, C = 24 and P = 9
We can derive the equation from the step-by-step method indicated above:
Number of problems to be completed in hours = 9h
Pauline has already completed 24 problems, while the total number of problems is 42.
So, the equation 24 + 9h = 42 will aid in finding the number of hours taken to complete the math homework assignment.
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