Question

Selena left an 18% tip for a meal. The total cost of the meal, including the tip, was $40.71. What was the cost of the meal before the tip was added?

Answer 1

$$
n\% \ of \ m = \cfrac{n}{100}m\\
m+(n\% \ of \ m) = m+\pmatrix{\cfrac{n}{100}m}\\
$$

Answer 2

The meal cost x (without tip)
The meal cost 100% of the price of the meal, or 100% * x
The tip added 18% of the cost of the meal to the cost of the meal.
The meal with the tip cost 100%x + 18%x = 118%x
We also know that 118%x = $40.71
118% = 1.18, so solve the equation
1.18x = 40.71 for x.

Answer 3

and that amount is 40.71
so, solve the equation for "m"

Answer 4

one sec imma solve for the x

Answer 5

is it $34.50

Answer 6

Bingo!

Answer 7

yay!!! :D thank you so much :)

Answer 8

You're welcome.