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?
30= new racket
30= 3x-6, where x=old racket
so x=12, old racket cost 12 dollars
Let's set up an equation to find out how much Juanita paid for her old tennis racquet.
Let's assume the price of her old racquet is represented by the variable "x".
According to the problem, the new racquet cost $6 less than three times the price of her old racquet.
So, we can write the equation as:
3x - 6 = 30
To solve this equation, we can add 6 to both sides to isolate the term with 3x:
3x = 30 + 6
Simplifying the right side gives:
3x = 36
Now, divide both sides of the equation by 3 to solve for x:
x = 36 / 3
Calculating the right side gives:
x = 12
Therefore, Juanita paid $12 for her old tennis racquet.
To find out how much Juanita paid for her old racquet, we need to solve the given equation: $30 = 3x - $6.
1. First, let's isolate the variable x (the price of her old racquet). Add $6 to both sides of the equation to get:
$30 + $6 = 3x - $6 + $6
Simplifying, we have:
$36 = 3x
2. Now, divide both sides of the equation by 3 to solve for x:
$36 / 3 = 3x / 3
This simplifies to:
$12 = x
So, Juanita paid $12 for her old racquet.
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!