Question

Question #27c5a

Answer 1

All together they painted `=36` boards

Explanation:

Let us have

Wayne painted `x` boards

Then -

Number of boards painted by Dawnisha is `=x-18`

Waynes can paint 3 times faster than Dawnisha.
It means if Dawnisha painted one board, Wayne can paint 3 boards.
So

`x/(x-18)=3`

Solve it for `x`

`x=3(x-18)`
`x=3x-54`
`x-3x=-54`
`-2x=-54`
`x=(-54)/(-2)=27`

Number of boards painted by Wayne is `=27`

Numbeer of boards paited by Dawnisha `=27-18=9`

All together they painted `=27+9=36` boards