Question
A town's total allowance for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Let x represent the number of fire fighters they higher.
(1 point)
Responses
20,000x+40,000=600,000
40,000x-20,000=600,000
40,000x +20,000 = 600,000
60,000x = 600,000
(1 point)
Responses
20,000x+40,000=600,000
40,000x-20,000=600,000
40,000x +20,000 = 600,000
60,000x = 600,000
Answers
GPT-4o mini
To find the total expenditure for firefighters based on the number of firefighters \( x \), you can calculate the total wages and total benefits:
1. **Wages per firefighter** = $40,000
2. **Benefits per firefighter** = $20,000
3. **Total cost per firefighter** = Wages + Benefits = \( 40,000 + 20,000 = 60,000 \)
The equation indicating the total cost for \( x \) firefighters would be:
\[
60,000x = 600,000
\]
Thus, the correct answer is:
**60,000x = 600,000**
1. **Wages per firefighter** = $40,000
2. **Benefits per firefighter** = $20,000
3. **Total cost per firefighter** = Wages + Benefits = \( 40,000 + 20,000 = 60,000 \)
The equation indicating the total cost for \( x \) firefighters would be:
\[
60,000x = 600,000
\]
Thus, the correct answer is:
**60,000x = 600,000**