The lemonade stand is selling 2 types of lemonade. On the first day is the sale, the stand sold 3 strawberry lemonade and 1 original lemonade for a total of $38. The stand took in $52 on the second day selling 3 strawberry lemonade and 2 original lemonade. Fine the cost of each type of lemonade.

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

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.  

the answer is d

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