Luisa mows lawns during the summer. she charges $15 if she cuts the grass but charges $5 more is she also trims the grass. last week she trimmed 5 more yards than she cut. if she made $415 last week, how many yards did she trim?

Let the number of yards she trimmed be t
She trimmed 5 more yards than she cut and she mad $415, so
20t+15(t-5)=415

We first distribute the second number so this equals
20t+15t-75=415

Then we add 75 to both sides, getting
20t+15t=490

This means that
35t=490

And we divide both sides by 35 to get
t=14

So, she trimmed 14 yards