Algebraic Walk Through

Hit a wall. Can anyone show me the the algebra to solve for capital’s share of factor cost given the following: 4.3% = 1.8% + 3.1(a) + 2.2%(1-a)

Thanks in advance!

I presume that “3.1” is supposed to be “3.1 % ”. If so:

4.3% = 1.8% + 3.1%(a) + 2.2%(1 − a)

4.3% − 1.8% = 3.1%(a) + 2.2% + 2.2%(−_a_)

4.3% − 1.8% − 2.2% = 3.1(a) − 2.2%(a)

0.3% = (3.1% − 2.2%)a

0.3% = (0.9%)a

a = 0.3% / 0.9% =

:+1:

Boom! Thank you very much!