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
20,000x+40,000=600,000
20,000x+40,000=600,000
40,000x-20,000=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
20,000x+40,000=600,000
20,000x+40,000=600,000
40,000x-20,000=600,000
Answers
GPT-4o mini
To create an equation representing the total cost of wages and benefits for the firefighters, we need to consider both components:
- Wages: $40,000 per firefighter
- Benefits: $20,000 per firefighter
The total cost for one firefighter is \( 40,000 + 20,000 = 60,000 \) dollars.
If \( x \) represents the number of firefighters, the total cost for \( x \) firefighters would be \( 60,000x \).
Thus, to find out how many firefighters they can hire with their budget of $600,000, we can set up the following equation:
\[ 60,000x = 600,000 \]
So the correct response is:
**60,000x = 600,000**
- Wages: $40,000 per firefighter
- Benefits: $20,000 per firefighter
The total cost for one firefighter is \( 40,000 + 20,000 = 60,000 \) dollars.
If \( x \) represents the number of firefighters, the total cost for \( x \) firefighters would be \( 60,000x \).
Thus, to find out how many firefighters they can hire with their budget of $600,000, we can set up the following equation:
\[ 60,000x = 600,000 \]
So the correct response is:
**60,000x = 600,000**