Lawanda and Sierra eat dinner at a restaurant with a 5.5% sales tax. They leave a 15% tip on the pre-tax amount of the bill. Write two different equations to represent the relationship between b, the pre-tax bill for their meal, and t the total that they paid.
If they pay a total of $40 including tax and tip, what was the pre-tax bill for their meal?
Equation 1: t = b + 0.055b + 0.15(b + 0.055b)
Equation 2: t = 1.2b + 0.0825b
To find the pre-tax bill for their meal, we can set the total paid equal to $40 and solve for b:
40 = b + 0.055b + 0.15(b + 0.055b)
Alternatively, we can use the second equation:
40 = 1.2b + 0.0825b
Simplifying either equation will give us the pre-tax bill for their meal.