Question

Frances left a 18​% tip on a meal. Including the​ tip, its cost was​ $56.64. What was the cost of the meal before the​ tip?

Answer 1

`56.64/(1.00+0.18)=48.00`

Explanation:

A 18% tip is paying MORE than the 100% of the cost of the meal. So you are actually paying 118% of the cost of the meal.

`118%=118/100= 1.18` -> decimal value

`56.64/1.18=48.00` -> total cost divided by percent

So the cost of the meal before the tip was `$48.00.`

Answer 2

`$46.31` was the original cost of the meal.

Explanation:

This is an example of reverse percentage because you only know the amount AFTER and increase or decrease has taken place, but you do not know the original amount `(100%)`

If `18%`was added onto the original cost of the meal, then the amount paid represents `118%`

Use direct proportion to compare the percents and the amounts.
Let the original amount be `x`

`54.64/118 = x/100" "(larr"amounts")/(larr"percents")`

`x = (54.64 xx100)/118`

`x = $46.31`