Question #27c5a

1 Answer
Mar 14, 2017

Answer:

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