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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!

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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% =

Simplify the complicated side; don't complify the simplicated side.

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yes

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Boom! Thank you very much!