Juanita lost her tennis racquet. She bought a new one for $30. This is $6 less than three times the price of her old one. How much did she pay for her old racquet?

Answer 1

30= new racket
30= 3x-6, where x=old racket
so x=12, old racket cost 12 dollars

Answer 2

new price = $30

The new price (or $30) = 3x - 6

old price = x

We now equate:

30 = 3x - 6

30 + 6 = 3x

36 = 3x

36/3 = x

12 = x

Old Price = $12.

Done!