The amount owed at a restaurant was $49.82, this included a 6% tip. What was the bill before tax was added?

$46.8308

Step-by-step explanation:

Let the original amount of the bill be x

The amount owned = $49.82(including a tip of 6%)

To get the original before tip was added, we will use the expression;

x = $49.82-(6% of $49.82)

x = $49.82 - (0.06 * 49.82)

x = $49.82 - 2.9892

x = $46.8308

Hence the bill before the tax was added is $46.8308

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584