Question 1151064
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x at 38 dollars;  (24-x) at 45 dollars.


The total money equation is


    38x + 45*(24-x) = 975   dollars.


From the equation, express "x" and calculate


    x = {{{(975-45*24)/(38-45)}}} = 15.


<U>ANSWER</U>.  15 at 38 dollars and the rest, 24-15 = 9 at 45 dollars.


<U>CHECK</U>.   15*38 + 9*45 = 975  dollars.   ! Precisely correct !
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Solved.