To determine which student correctly calculated the quotient for \( 552 \div 23 \), we can evaluate their work step-by-step.
### Brianna’s Work:
1. Subtract \( 20 \times 23 = 460 \) from 552 to get \( 92 \).
2. Subtract \( 4 \times 23 = 92 \) from 92 to get \( 0 \).
3. Add the partial quotients: \( 20 + 4 = 24 \).
### Gavin’s Work:
1. Subtract \( 10 \times 23 = 230 \) from 552 to get \( 322 \).
2. Subtract \( 10 \times 23 = 230 \) from 322 to get \( 92 \).
3. Subtract \( 2 \times 23 = 46 \) from 92 to get \( 46 \).
4. Subtract \( 2 \times 23 = 46 \) from 46 to get \( 0 \).
5. Add the partial quotients: \( 10 + 10 + 2 + 2 = 24 \).
### Conclusion for Part A:
Both Brianna and Gavin correctly calculated the quotient in their respective processes, as they each ended up with a total of 24 partial quotients (24).
### Answer for Part B:
The quotient for \( 552 \div 23 \) is \( 24 \).