Question
A project team had 16 new hires and 9 experienced employees. 4 new hires can do the equivalent work of 3 experienced employees. Management replaced all new hires in the project teams with the equivalent number of experienced employees.
How many more/fewer people are there in the project team now?
7 more people
12 fewer people
21 fewer people
4 fewer people
How many more/fewer people are there in the project team now?
7 more people
12 fewer people
21 fewer people
4 fewer people
Answers
GPT-4o mini
To determine how many more or fewer people are in the project team after replacing all new hires with equivalent experienced employees, we can analyze the situation step-by-step.
1. **Understand the work equivalence**: According to the information provided, 4 new hires can do the equivalent work of 3 experienced employees.
2. **Find the equivalent number of experienced employees for the new hires**:
- There are 16 new hires.
- To find out how many experienced employees are equivalent to these new hires, we need to establish how many groups of 4 new hires are in 16.
- \( 16 \text{ new hires} \div 4 = 4 \) groups of 4 new hires.
- Since each group of 4 new hires is equivalent to 3 experienced employees, the number of experienced employees equivalent to 16 new hires is:
\[
4 \text{ groups} \times 3 \text{ experienced employees/group} = 12 \text{ experienced employees}
\]
3. **Calculate the total number of employees before the replacement**:
- The total number of employees before replacement includes both new hires and experienced employees:
\[
16 \text{ new hires} + 9 \text{ experienced employees} = 25 \text{ employees}
\]
4. **Calculate the total number of employees after the replacement**:
- After replacing all new hires with equivalent experienced employees, the total number of experienced employees becomes:
\[
12 \text{ experienced employees (equivalent to new hires)} + 9 \text{ existing experienced employees} = 21 \text{ experienced employees}
\]
5. **Determine the difference in the number of employees**:
- To find out how many more or fewer people are in the project team now, subtract the new total from the original total:
\[
25 \text{ original employees} - 21 \text{ new total employees} = 4 \text{ fewer employees}
\]
Based on this analysis, the answer is that there are **4 fewer people** in the project team now.
1. **Understand the work equivalence**: According to the information provided, 4 new hires can do the equivalent work of 3 experienced employees.
2. **Find the equivalent number of experienced employees for the new hires**:
- There are 16 new hires.
- To find out how many experienced employees are equivalent to these new hires, we need to establish how many groups of 4 new hires are in 16.
- \( 16 \text{ new hires} \div 4 = 4 \) groups of 4 new hires.
- Since each group of 4 new hires is equivalent to 3 experienced employees, the number of experienced employees equivalent to 16 new hires is:
\[
4 \text{ groups} \times 3 \text{ experienced employees/group} = 12 \text{ experienced employees}
\]
3. **Calculate the total number of employees before the replacement**:
- The total number of employees before replacement includes both new hires and experienced employees:
\[
16 \text{ new hires} + 9 \text{ experienced employees} = 25 \text{ employees}
\]
4. **Calculate the total number of employees after the replacement**:
- After replacing all new hires with equivalent experienced employees, the total number of experienced employees becomes:
\[
12 \text{ experienced employees (equivalent to new hires)} + 9 \text{ existing experienced employees} = 21 \text{ experienced employees}
\]
5. **Determine the difference in the number of employees**:
- To find out how many more or fewer people are in the project team now, subtract the new total from the original total:
\[
25 \text{ original employees} - 21 \text{ new total employees} = 4 \text{ fewer employees}
\]
Based on this analysis, the answer is that there are **4 fewer people** in the project team now.