Math Problem Statement

which combination of these numbers equals $72,765. $5,550 $21,500 $5,950 $7,700 $450 $6,990 $7,675 $11,600 $13,135 $5,800 $7,000 $11,100

Solution

Let's work through the problem of finding the combination of these numbers that equals $72,765.

Here are the provided numbers:

  • $5,550
  • $21,500
  • $5,950
  • $7,700
  • $450
  • $6,990
  • $7,675
  • $11,600
  • $13,135
  • $5,800
  • $7,000
  • $11,100

I will find which subset of these numbers adds up to $72,765. Let's calculate that.The combination of numbers that adds up to $72,765 is:

  • $5,550
  • $21,500
  • $5,950
  • $7,700
  • $6,990
  • $7,675
  • $11,600
  • $5,800

Would you like more details or have any questions about the process?

Here are 5 related questions to explore further:

  1. How can you systematically solve problems involving number combinations?
  2. How does the method of combinations work in mathematics?
  3. What real-world problems can be solved using combination theory?
  4. How would the solution change if we allowed negative numbers or subtraction?
  5. Can there be multiple solutions to a sum combination problem?

Tip: When working with large lists of numbers, breaking the problem into smaller parts or using programming tools can simplify complex calculations.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Arithmetic

Formulas

Sum of subset elements
Combinatorial selection of subsets

Theorems

Subset sum theorem

Suitable Grade Level

Grades 9-12