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mit." A tax professional gets paid $175 for each tax return she prepares, and her goal is to earn $6650 preparing tax returns during this tax season. If she has already prepared 5 tax returns this tax season, how many more tax returns must she prepare in order to reach her goal?

Respuesta :

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.