Which situation describes opposite quantities that when combined would equal 0?

A. A deposit of $20 to a bank and a fee charged of $20.
B. A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
C. A deposit of $10 to a bank, a fee charged of $20, and a deposit of #30.
D. A withdrawal of $20 to a bank and a fee charged of $20

1 answer

To determine which situation describes opposite quantities that when combined would equal 0, we need to look for two transactions that are equal in amount but opposite in direction. These transactions should effectively cancel each other out.

Here are the four situations:

A. A deposit of $20 to a bank and a fee charged of $20.
- A deposit of $20 (+$20) and a fee of $20 (-$20). When combined: \( +20 + (-20) = 0 \).

B. A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
- A fee of $10 (-$10), a deposit of $10 (+$10), and a withdrawal of $30 (-$30). When combined: \( -10 + 10 - 30 = -30 \).

C. A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
- A deposit of $10 (+$10), a fee of $20 (-$20), and a deposit of $30 (+$30). When combined: \( 10 - 20 + 30 = 20 \).

D. A withdrawal of $20 to a bank and a fee charged of $20.
- A withdrawal of $20 (-$20) and a fee of $20 (-$20). When combined: \( -20 + (-20) = -40 \).

From these analyses, we see that:

The correct choice is **A. A deposit of $20 to a bank and a fee charged of $20**.
These two amounts are opposite quantities that when combined would equal 0.