carlos and Jacob each improve their yards by planting daylilies and ivy. They bought their supplies from the same stores. Carlos spent $24 on 4 daylilies and 4 pots of ivy. Jacobs spent $36 on 4 daylilies and 8 pots of ivy. what is the cost of one daylily and the codt of one pot of ivy?

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correct answers below:

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+

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