Let 1/x=the time it takes for person b to paint
let 1/22x the time that it takes for person a to paint
lastly we have the following since we know that when they work together that is how long it takes
[tex] \frac{1}{x} + \frac{1}{22x} = \frac{1}{77}[/tex]
to solve we first multiply both sides by 1694x
[tex]1694 + 77 = 22x[/tex]
we then combine like terms
[tex]1771 = 22x[/tex]
lastly we divide both sides by 22
[tex]80.5 = x[/tex]
