Question

Darcy gave her beauty technician a ​$4.50 tip. The tip was 9​% of the cost of the procedure. Write an equation to find​ b, the cost of the procedure.

Answer 1

To find the cost of the procedure, we can set up an equation based on the information given. Let's denote the cost of the procedure as b.
According to the problem, the tip Darcy gave to her beauty technician is 9% of the cost of the procedure. In mathematical terms, this can be
expressed as: 0.09b = 4.50 To solve
this equation for b, we need to isolate the variable b on one side.
We can do this by dividing both sides of the equation by 0.09: (0.09b) /
0.09 = (4.50) / 0.09 This simplifies to:
b=4.50 / 0.09 Evaluating the right
side of the equation: b = 50
Therefore, the cost of the procedure, denoted as b, is $50.

Answer 2

Let b represent the cost of the procedure. The tip Darcy gave, which is 9% of the cost, can be expressed as 0.09b. Darcy gave a $4.50 tip, so the equation representing this situation is:

0.09b = 4.50

This equation can be used to find b, the cost of the procedure. To solve for b, you can divide both sides of the equation by 0.09:

b = 4.50 divided by 0.09

b = 50

So, the cost of the procedure (b) is $50.