Jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip

3 answers

The pre-tax amount, which we'll call x, is the total cost minus the tax.

Sales Tax = 9% of x
Tip = 20% of x

Total cost = x + Sales Tax + Tip

Since the Total cost is given as $105.79, we can set up an equation:
105.79 = x + (0.09 * x) + (0.20 * x)

Simplifying the equation, we have:
105.79 = x + 0.09x + 0.20x
105.79 = 1.29x

Dividing both sides by 1.29 to solve for x, we get:
x = 105.79 / 1.29
x ≈ $82.26

Now that we know the pre-tax amount, we can calculate the tax and tip:
Sales Tax = 0.09 * $82.26 ≈ $7.40
Tip = 0.20 * $82.26 ≈ $16.45

Finally, the total cost, including tax and tip, will be:
Total cost = $82.26 + $7.40 + $16.45
Total cost ≈ $106.11

Therefore, the total cost, including tax and tip, will be approximately $106.11.
these are all different answers which one is correct
136.47