SOLUTION: Lucy wants her portrait to be framed of uniform width. If the dimensions of the portrait is 10.5 x 14 in and the frame to be build is in the ratio 5:6, what are the dimensions of

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Question 1145565: Lucy wants her portrait to be framed of uniform width. If the dimensions of the portrait is 10.5 x 14 in and the frame to be build is in the ratio 5:6, what are the dimensions of the frame?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Let w be the frame uniform width.


Then your setup equation is this


     = .


To solve it, cross multiply


    6*(10.5 + 2w) = 5*(14 + 2w).


The rest is several easy steps

    
     63 + 12w = 70 + 10w,

     12w - 10w = 70 - 63

      2w       = 7

       w       = 7/2 = 3.5 inches.      ANSWER


Then the outer dimensions of the frame are 10.5+2*3.5 = 17.5 inches and 14+2*3.5 = 21 inches.    ANSWER


CHECK.  The ratio of outer dimensions of the frame is   = .   ! Correct !

Solved.


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