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. How many tax returns did Sterre file at each price? math word problem

Charges for filing each tax return not through the easiest form = $35

Charges for the filing each tax return through the easiest form = $0

Donation made to clean water project for each tax return filed = $2

Let total tax returns filed be 'a' and total tax returns filed at $35 be 'b'

⇒ Tax returns filed at $0 = a-b

Total money charged by Sterre = $7, 245

Total donation made by Sterre = $1, 242

Now, first we will determine the total tax returns filed by Sterre

Total donation made by Sterre = Donation made per tax return * Total returns filed by Sterre

⇒ 1,242 = 2 * a

⇒ a = 621

Hence, Sterre filed total of 621 tax returns

Now total money charged by Sterre = Charges for filing each tax return not through the easiest form * Tax returns filed at $35

⇒ 7,245 = 35 * b

⇒ b = 207

Hence, Sterre filed 207 returns at $35.

⇒ Tax returns filed at $0 = 621 - 207

⇒ Tax returns filed at $0 = 414

Hence, at $35, Sterre filed 207 tax returns, and at $0 Sterre filed 414 tax returns.