Question #27c5a

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Answer 1 · 2017-03-14T01:50:06

All together they painted $=36$ boards

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