Answer:
33 more tax returns.
Step-by-step explanation:
Let n be the number of tax return the tax professional needs to prepare.
We have been given that the tax professional get paid $175 for each tax return she prepares, so the total earnings for preparing n tax returns will be 175n.
We are also told that she has already prepared 5 tax returns this tax season, so she will get an amount for preparing 5 tax returns will be: [tex]175\times 5=875[/tex]
The total money earned from preparing the tax returns this season will be [tex]175n+875[/tex]
As she wants to earn $6650 preparing tax returns during this tax season, so we can set an equation as:
[tex]175n+875=6650[/tex]
Now let us solve for n.
[tex]175n+875-875=6650-875[/tex]
[tex]175n=5775[/tex]
Upon dividing both sides of our equation by 175 we will get,
[tex]\frac{175n}{175}=\frac{5775}{175}[/tex]
[tex]n=33[/tex]
Therefore, the tax professional must prepare 33 more tax returns to reach her goal.