<PRE><B>Question 1063659</B>
you are given:


A = B + 140
C = D + 80
A/C = 2/3
B/D = 1/2


since A/C = 2/3, and since A = B + 140 and C = D + 80, you get:


2/3 = (B + 140) / (D + 80)


cross multiply to get:


2 * (D + 80) = 3 * (B + 140)


simplify to get:


2D + 160 = 3B + 420


from B/D = 1/2, solve for D to get D = 2B


replace D with 2B in 2D + 160 = 3B + 420 to get:


4B + 160 = 3B + 420


solve for B to get B = 260


since D = 2B, you get D = 520


since A = B + 140, and since B = 260, you get A = 400


since C = D + 80, and since D = 520, you get C = 600


your results are:


A = 400
B = 260
C = 600
D = 520


A = B + 140 becomes 400 = 260 + 140 which becomes 400 = 400 which is true.


C = D + 80 becomes 600 = 520 + 80 which becomes 600 = 600 which is true.


A/C = 2/3 becomes 400 / 600 = 2/3 which becomes 2/3 = 2/3 which is true.


B/D = 1/2 becomes 260 / 520 = 1/2 which becomes 1/2 = 1/2 which is true.


solution looks good.


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