Lets do this like this: X = number of quarters and y=number of dimes. Now, we know that the total number is 35 and that the change adds up to 6.50. One equation we can form is x+y=35Remember the total number of coins is 35. The other equation is 25x+.1y=6.5Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation. Solving for y like this:y=35−xWe can substitute this into the other equation to obtain.25x+.1(35−x)=6.5This simplifies to.15x+3.5=6.5.15x=3x=20 I hope this can help you indeed