Which of the following situations have a net sum of 0? Select three that apply.

Responses

An apple and an orange both cost $0.50.

An apple and an orange both cost $0.50.

Ted has 3 pieces of candy and eats 3 pieces of candy.

Ted has 3 pieces of candy and eats 3 pieces of candy.

A carpenter makes the same amount of benches that she sells.

A carpenter makes the same amount of benches that she sells.

A business's income is twice as much as the business's expenses.

A business's income is twice as much as the business's expenses.

Lauren makes 10 bracelets and she gives her friends 10 bracelets.

Lauren makes 10 bracelets and she gives her friends 10 bracelets.

A basketball team scores 10 points more than its opponent on 2 consecutive nights.

1 answer

To determine which situations have a net sum of 0, we need to look for scenarios where there is an equal exchange or balance, resulting in no net gain or loss.

  1. Ted has 3 pieces of candy and eats 3 pieces of candy.

    • This results in a net sum of 0 because he ends up with none (3 - 3 = 0).
  2. A carpenter makes the same amount of benches that she sells.

    • This also has a net sum of 0 in terms of production and sales because what she makes is exactly what she sells (made - sold = 0).
  3. Lauren makes 10 bracelets and she gives her friends 10 bracelets.

    • In this case, Lauren also has a net sum of 0 in terms of her bracelets because she starts with 10 and gives away all 10 (10 - 10 = 0).

The other scenarios do not constitute a net sum of 0:

  • An apple and an orange both cost $0.50. (This scenario does not imply any net sum.)
  • A business's income is twice as much as the business's expenses. (This indicates a net gain.)
  • A basketball team scores 10 points more than its opponent on 2 consecutive nights. (This indicates a point gain.)

Therefore, the three situations that have a net sum of 0 are:

  • Ted has 3 pieces of candy and eats 3 pieces of candy.
  • A carpenter makes the same amount of benches that she sells.
  • Lauren makes 10 bracelets and she gives her friends 10 bracelets.