Question

Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean water projects per tax return she files. Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Sterre filed_____tax returns for free and filed______ tax returns for $35sign

Answer 1

We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

$0\times x+35\times y=7245\Rightarrow 35y=7245\Rightarrow y=\frac{7245}{35}=207$

Since she donates $2 for each return that she files, therefore, we can set up:

$2(x+y)=1242\Rightarrow x+y=621\Rightarrow x+207=621\Rightarrow x=414$

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35.