In a certain factory there are 96 workers. The ratio of blue-eyed to brown-eyed workers is 3:5. If all the workers have either blue or brown eyes, how many have brown eyes?

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

19

step-by-step explanation:

geometry: triangles

solvers

lessons

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