The following day Cory returned to the store to purchase some more socks. He had $40 to spend.
When he arrived at the store, the shoes were on sale for
1/3
off. What is the greatest amount of pairs
of socks Cory can purchase if he purchases another pair of shoes in addition to the socks?

the answer to this question is in the pic

a is the correct

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

at least two

step-by-step explanation: