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 assignment, we can start by determining how many math problems she has left to complete.
Paulina was assigned a total of 42 math problems and has completed 24, so the number of problems remaining is:
\[
42 - 24 = 18
\]
Now, since Paulina completes 9 math problems each hour, we can set up the equation for the number of hours \( h \) it will take her to complete the remaining problems:
\[
9h = 18
\]
This equation states that the number of problems she will complete in \( h \) hours (which is \( 9h \)) is equal to the number of problems she has left (which is 18).
To solve for \( h \), we can divide both sides of the equation by 9:
\[
h = \frac{18}{9}
\]
\[
h = 2
\]
Thus, it will take Paulina 2 hours to complete her homework assignment. The equation to find the number of hours it will take her to complete her homework is:
\[
9h = 18
\]
Paulina was assigned a total of 42 math problems and has completed 24, so the number of problems remaining is:
\[
42 - 24 = 18
\]
Now, since Paulina completes 9 math problems each hour, we can set up the equation for the number of hours \( h \) it will take her to complete the remaining problems:
\[
9h = 18
\]
This equation states that the number of problems she will complete in \( h \) hours (which is \( 9h \)) is equal to the number of problems she has left (which is 18).
To solve for \( h \), we can divide both sides of the equation by 9:
\[
h = \frac{18}{9}
\]
\[
h = 2
\]
Thus, it will take Paulina 2 hours to complete her homework assignment. The equation to find the number of hours it will take her to complete her homework is:
\[
9h = 18
\]