Mrs. Conte loves to play golf. One brand of purple golf balls cost $125 for 120 balls. The other brand came in hot pink color with a price of $90 for 100 balls. Mrs. Conte would like to get the better deal and use the money she saves to buy a matching golf outfit! Which color ball should she buy? I also need an explanation bc I need to show work.

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

do have an equation or graph or

step-by-step explanation: