Caitlin goes to the store and pays $10 for each shirt and $4 for each pair of socks, but she cannot spend more than $20. Gabby goes to a store where she pays $12 for each shirt and $6 for each pair of socks, spending no more than $48. Write and graph a system of inequalities to represent the solutions.

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step-by-step explanation:

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+

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