The local hardware store has red buckets that hold 3 gallons of water and black buckets that hold 4
gallons of water. You bought 8 buckets that can hold 30 gallons of water. How many buckets of each
color were purchased?

3x^3-x^2+6x-9

c is the answer

step-by-step explanation:

is there any photos or whatever?

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