To solve this, let's determine whether it's possible to reach exactly 35,500 by using each number at least once and summing a combination of:

• 475
• 1000
• 2050
• 3650
• 5350
• 11000

Step-by-step approach:

1. Add all the numbers together: $475 + 1000 + 2050 + 3650 + 5350 + 11000 = 23,525$ So, by using each number once, the total sum is 23,525.

2. Difference between 35,500 and 23,525: $35,500 - 23,525 = 11,975$ This is the remaining amount we need to add to reach 35,500.

3. Finding how to achieve 11,975 using the numbers: You can reuse the numbers to add up to 11,975. Let's try combinations:

   • $11,000 + 5350 = 16,350$ (too large, so this won’t work).
   • $5350 + 3650 + 1000 = 10,000$ (close but still not exact).
   • $475 + 3650 + 5350 = 9,475$.
   • $11,000 - 475 = 10,525$.

Analysis:

After trying these combinations, I found it is possible to match 35,500 exactly