The bishop's peak 4-h club is having its annual fundraising dinner. adults pay $35 apiece and children pay $25 apiece. if the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $2,660, how many of each kind of ticket did the 4-h club sell? adults

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

i think it is d. hope this