Agrocery store bought milk for $2.30 per half gallon and stored it in two refrigerators. during the night, one refrigerator malfunctioned and ruined 14 half gallons. if the remaining milk is sold for $3.90 per half gallon, how many half gallons did the store buy if they made a profit of $105.40?

the answer is 8

step-by-step explanation:

3.14 x 8x8

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

the answer is 21%.