Judy gets her car detailed at the car wash. She pays the cashier with a $100 bill and gets $40.60 in change. If the sales tax is 8%, what was the price of having her car detailed before tax?

The price of having her car detailed before tax = $55

Step-by-step explanation:

She pays the cashier with a $100 bill and gets $40.60 in change.

She paid = $100 - $40.60

= $59.40

Sales tax = 8%

what was the price of having her car detailed before tax?

Let x= price of having her car detailed before tax

8% of x + x = $59.40

(0.08 * x) + x = $59.40

0.08x + x = 59.40

1.08x = 59.40

Divide both sides by 1.08

x = 59.40 / 1.08

x = $55

Therefore, the price of having her car detailed before tax is $55

Check:

8% of $55

= 0.08*55

= $4.40

Tax + price before tax

$4.40 + $55

= $59.40