Question

Lynn gave her hair stylist a ​$4.90 tip. The tip was 7​% of the cost of the haircut. Write an equation to find​ b, the cost of the haircut. Question content area bottom Part 1 Of all percentages are expressed as​ decimals, the equation $ 92$92 can be used to find​ b, the cost of the haircut. ​(Use the operation symbols in the math palette as needed. Type an equation. Use whole numbers or decimals for any numbers in the equation. do not simplify

Answer 1

We can write the equation as:

0.07b = 4.90 + b

This equation represents the fact that the tip ($4.90) is equal to 7% of the cost of the haircut (0.07b), added to the cost of the haircut itself (b). To solve for b, we can simplify and rearrange the equation:

0.07b - b = 4.90

-0.93b = 4.90

b = 4.90 / (-0.93)

b ≈ -5.27

Since the cost of a haircut cannot be negative, we need to reject this negative solution. Therefore, there must be an error in the equation $92$92 that was given in the question prompt. The correct equation to find b, the cost of the haircut, would be:

b + 0.07b = cost of haircut + tip

1.07b = cost of haircut + 4.90

where 0.07b represents the tip, and 1.07b represents the total cost of the haircut and tip. We cannot solve for b without knowing the total cost of the haircut and tip.