Math problem for only the smartest :)?

to find out how much each chicken weights, first set up what you know

a+b=6.1

a+c=8.5

b+c=10.6

to find the weight of chicken "a" you write

((a+b)+(a+c))-(b+c))/2=

then you replace with

((6.1)+(8.5))-(10.6))/2=2

and there you go all you have to do now is simple subtracting

2 + b = 6.1 which mean that b is 6.1 minus 2 which is 4.1

4.1 + c = 10.6 which mean that c is 10.6 minus 4.1 which is 6.5

so

a = 2

b= 4.1

c= 6.5

Sum of left side=2A +2B +2C

Sum of right side=25.2

2A+2B+2C =2(A+B+C) =25.2

A+B+C=12.6

12.6-6.1=6.5 chicken C

12.6-10.6=2 chicken A

12.6 -8.5 =4.1 chicken B

a weighs 3.05

b weighs 7.1

c weiths 1.4

A is 2 B is 4,1 C is 6,5

i have no idea. whats the answer?

i thought i was good at math until i hit this question. im in algrebra two honors lol

A = 2

B = 4.1

C = 6.5

---------------------------

A + B = 6.1

B + C = 10.6

A + C = 8.5

A = 6.1 - B

A = 8.5 - C

∴ 6.1 - B = 8.5 - C

B = 10.6 - C ∴ 6.1 - (10.6 - C) = 8.5 - C

6.1 - 10.6 + C = 8.5 - C

-4.5 + C = 8.5 - C

2C = 13

C = 6.5

B = 10.6 - C = 10.6 - 6.5 = 4.1

A = 8.5 - C = 8.5 - 6.5 = 2

∴ A = 2, B = 10.6, and C = 6.5

i tried

i'm doing something similar in geometry right now but not exactly