[ (R*ST) + (U÷V) ] ÷ [ WX + (Y÷Z) ] = 50 use numbers 1 through 9 only once

Question

using numbers from 1 to 9 in place of the letters, and only each number being used once, the end result is the answer equals 50.

Answer 1

R=9

S = 8

T = 7

U = 2

V = 6

W = 1

X = 4

Y = 5

Z = 3

 

9*87+2/6 = 783 1/3


14 + 5/3 = 15 2/3


783 1/3 / (15 2/3) = 50

 

You can rationalize this solution, but I actually derived it by looping through all 9! possibilities.  You quickly restrict your options if you try to derive the solution by realizing that the number on the right side must be > 12, so the number on the right must be > 600, and the number on the left side can be, at most, 9 * 87 + 6/1 (really, we don't have to include 1) = 789