SOLUTION: A bank lends two people a total of $b. The first person pays x% interest and the second person pays y% interest. The amount of interest received by the bank is the same for each lo

Let "a" be the amount loaned at x%, in dollars.

Then the amount loaned at y% was (b-a) dollars.


Write this equation as you read the problem


     = .    (1)


In this problem , b, x and y are given value (in symbolic form). The unknown is the value of "a".


From equation (1)


    ax = y*(b-a),

    ax = yb - ya

    ax + ay = yb

    a*(x+y) = yb

    a = .


ANSWER.  The amount loaned at  x%  was  .