The average number of candies that five trick or treaters got was 68. If Mary had 75, Bob had 62, Sandy had 84, and Chris had 53 pieces of candy, how many pieces did David have?

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step-by-step explanation:

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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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1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0