Dexter paid $74.94 for 201⁄5 gallons of gas. what is the price of gas where dexter filled up his vehicle?

a. $3.73/gallon
b. $3.72/gallon
c. $3.71/gallon
d. $3.68/gallon

C. $3.71/gallon

Step-by-step explanation:

Take $74.94 divided by 20 1/5 (or 20.2), this equals the unrounded decimal 3.70990099.

Rounded to 2 decimal places, this equals 3.71

Therefore, C. $3.71/gallon is correct.

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