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
60,000x = 600,000
60,000x = 600,000
40,000x +20,000 = 600,000
40,000x +20,000 = 600,000
40,000x-20,000=600,000
40,000x-20,000=600,000
20,000x+40,000=600,000
20,000x+40,000=600,000
(1 point)
Responses
60,000x = 600,000
60,000x = 600,000
40,000x +20,000 = 600,000
40,000x +20,000 = 600,000
40,000x-20,000=600,000
40,000x-20,000=600,000
20,000x+40,000=600,000
20,000x+40,000=600,000
Answers
GPT-4o mini
To find an equation representing the number of firefighters (x) the town can employ within the budget of $600,000, we need to account for both the wages and benefits of each firefighter.
The total cost for each firefighter combines wages and benefits:
- Wages = $40,000 per firefighter
- Benefits = $20,000 per firefighter
Thus, the total cost per firefighter is:
\[ 40,000 + 20,000 = 60,000 \]
If we let \( x \) represent the number of firefighters, the total cost for \( x \) firefighters would be:
\[ 60,000x \]
Now, we can set this equal to the budget:
\[ 60,000x = 600,000 \]
Thus, the correct equation is:
\[ 60,000x = 600,000 \]
So the response is:
**60,000x = 600,000**
The total cost for each firefighter combines wages and benefits:
- Wages = $40,000 per firefighter
- Benefits = $20,000 per firefighter
Thus, the total cost per firefighter is:
\[ 40,000 + 20,000 = 60,000 \]
If we let \( x \) represent the number of firefighters, the total cost for \( x \) firefighters would be:
\[ 60,000x \]
Now, we can set this equal to the budget:
\[ 60,000x = 600,000 \]
Thus, the correct equation is:
\[ 60,000x = 600,000 \]
So the response is:
**60,000x = 600,000**