Respuesta :

so, since 95.40 is including the 20% tip, then 95.40 is 100% + 20% or 120% then.

let's say "x" is the 100% of the amount of the bill, namely the bill without the tip.

so, we know 95.40 is 120%, and "x" is 100%, then,

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 95.40&120\\ x&100 \end{array}\implies \cfrac{95.40}{x}=\cfrac{120}{100}\implies \cfrac{95.40\cdot 100}{120}=x[/tex]
iivibxsii

The 20% tip is calculated as a percent of the bill before the tip. Think of that bill as 100%. Adding 20% to it makes 120%. So, 120% of the bill before the tip must equal $95.40. Here's how the algebra works.

(amount before tip) + (tip) = $95.40

(amount before tip) + (tip %)(amount before tip) = $95.40

100%(amount before tip) + 20%(amount before tip) = $95.40

120%(amount before tip) = $95.40

1.2 ∙ (amount before tip) = 95.40

amount before tip = 95.40 ÷ 1.2

amount before tip = 79.50

Before the tip, the bill was $79.50.

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