Question 1004767
This involves a simple Simultaneous solution.

Take hand towel as H and Bath towel as B

From the first statement,

 59H + 25B = 570   .......(equation i)

From the second statement,
  49H + 32B = 597   ........(equation ii).

From equation (i) above, {{{H = (570 - 25B)/59}}}

Simply substitute the above value of H into equation ii and you have your answer.