Question 69542
suppose Arnold had x dimes and y quarters
  value of x dimes = 10x cents
           y quarters =25y cents
       tolal value =10x+25y cents
                 by the problem  10x+ 25y=170..............(1)
                    and x=y+3....(2)

replacing the value of x in (1) we have 10(y+3)  +25y=170
                                     or 10y +30 +25y=170
                                     or 35y= 170-30=140
                                         y= 4

                              x=y+3
                               = 4+3
                                =7

Arnold had 7 dimes and 4 quarters