900 people went on a bus trip is 270 of the people were senior citizens what percentage were senior citizen

we know a total of 900 went on the bus trip, that's the 100% of folks going, we also know that 270 of them were senior citizens.

if 900 is the 100%, what's 270 off of it in percentage?

they are simplified

step-by-step explanation:

geometry: triangles

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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