Teas costing $7 per pound are to be mixed with teas costing $4 per pound to make a 30-pound mixture. If the mixture is to sell for $6 per pound, how many pounds of each kind of tea should be used? A) 12 lb at $7/lb, 18 lb at $4/lb B) 15 lb at $7/lb, 15 lb at $4/lb C)20 lb at $7/lb, 10 lb at $4/lb

step-by-step explanation:

geometry: triangles

solvers

lessons

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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

table 3 represents a direct variation function. : )

i suppose it should be (y=2x-5)

step-by-step explanation: