Question 1208178
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Bob bought a pair of shoes. He also spent 1/4 of the remainder of his money on a pair of pants. 
He had $189 left. If the cost of the pants was 3/7 the cost of the shoes, what is the price of the shoes.
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To avoid denominators, let 3x be the cost of the pair of pants.
Then the cost of the pair of shoes is 7x, according to the problem.

Let T be the total of money Bob had originally.


Then for the total we have this equation

    T = 3x + 7x + 189.      (1)


The remainder after buying the pair of shoes is (T-7x). 
From the problem, we have this equation

    {{{(1/4)*(T-7x)}}} = 3x.      (2)    (Bob spent 1/4 of the remainder of his money on a pair of pants)


Thus we have two equations, (1) and (2), for two unknowns x and T.


From equation (1),

    T = 10x + 189.          (3)


From equation (2), 

    T - 7x = 12x,

or

    T = 12x + 7x = 19x.     (4)


Now we substitute  T = 19x  from  (4)  into  (3).  We get

    19x = 10x + 189,

    19x - 10x = 189

        9x    = 189

         x    = 189/9 = 21.


Now we are in position to find the cost of the pair of shoes.  It is 7x = 7*21 = 147 dollars.    <U>ANSWER</U>
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Solved.