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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-> 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):
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. ANSWERCHECK. The ratio of outer dimensions of the frame is = . ! Correct !
