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 each hour h. Write an equation to find the number of hours it will take Paulina to complete her math homework assignment.
Answers
GPT-4o mini
To find the number of hours \( h \) it will take Paulina to complete her math homework, let's start by determining how many problems she has left to complete.
She has completed 24 problems out of 42, so the number of problems remaining is:
\[
42 - 24 = 18
\]
Paulina plans to complete 9 math problems each hour. Therefore, we can express the time \( h \) (in hours) it will take her to finish the remaining 18 problems with the equation:
\[
9h = 18
\]
This equation states that the number of problems Paulina completes in \( h \) hours (which is \( 9h \)) equals the number of problems she has left (18).
To find \( h \), you can solve the equation:
\[
h = \frac{18}{9}
\]
\[
h = 2
\]
So, it will take Paulina 2 hours to complete her homework assignment. The equation to represent this situation is:
\[
9h = 18
\]
She has completed 24 problems out of 42, so the number of problems remaining is:
\[
42 - 24 = 18
\]
Paulina plans to complete 9 math problems each hour. Therefore, we can express the time \( h \) (in hours) it will take her to finish the remaining 18 problems with the equation:
\[
9h = 18
\]
This equation states that the number of problems Paulina completes in \( h \) hours (which is \( 9h \)) equals the number of problems she has left (18).
To find \( h \), you can solve the equation:
\[
h = \frac{18}{9}
\]
\[
h = 2
\]
So, it will take Paulina 2 hours to complete her homework assignment. The equation to represent this situation is:
\[
9h = 18
\]