The jackson band boosters sell beverages for $1.75 and candy for $1.50 at home games. their goal is to have total sales of $525 for each game. write an equation that is a model for the different numbers of beverages and candy that can be sold to meet the goal.

a is the right answer

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