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 <span>x+y=35</span>Remember the total number of coins is 35. The other equation is <span>25x+.1y=6.5</span>Because 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:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20 I hope this can help you indeed</span></span>
