Question 1129757

Let {{{x}}} equal the marked price of ramen.
 
The {{{18}}}% discount is equal to {{{x - 0.18x}}}, or {{{0.82x}}}
 
The service charge, when applied to the discounted ramen price, is {{{0.1(0.82x)}}}

The GST, when applied to the discounted ramen price, is {{{0.07(0.82x)}}}
 
Since she paid all 3 of these, and it totaled to {{{10.13}}}, you can add them together to get this equation:


{{{0.82x + 0.1(0.82x) + 0.07(0.82x) = 10.13}}}
 
Combine the terms to get:
{{{ 0.9594x = 10.13}}}

Divide by {{{0.9594}}} to get: {{{x = 10.55}}}
 
So, the original price of the ramen was {{{10.55}}}.