Ballio is 12 4/5 years old. Bill is 1 1/6 years older than Ballio and Jane is 1 1/3 years older than Bill. How old is Jane?

15 3/10 years

Step-by-step explanation:

Ballio age = 12 4/5

Bill's age = Ballio's age + 1 1/6

Bills age = 12 4/5 + 1 1/6 = 64/5 + 7/6 = (384 + 35) / 30 = 419 / 30 = 13 29/30

Jane's age :

13 29/30 + 1 1/3

419 / 30 + 4 /3 = (419 + 40) / 30 = 459 / 30 = 15 9/30

15 9/30 = 15 3/10 years

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

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step-by-step explanation: