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 firefighters they hire.
(1 point)
Responses
20,000x + 40,000 = 600,000
20,000x + 40,000 = 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
60,000x = 600,000
(1 point)
Responses
20,000x + 40,000 = 600,000
20,000x + 40,000 = 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
60,000x = 600,000
Answers
GPT-4o mini
To determine the total cost of hiring firefighters, we need to account for both wages and benefits. Each firefighter has wages of $40,000 and benefits of $20,000, making their total cost $40,000 + $20,000 = $60,000.
If \( x \) represents the number of firefighters, the total cost for \( x \) firefighters would be \( 60,000x \).
Given that the total budget for the firefighters' wages and benefits is $600,000, we can write the equation as:
\[ 60,000x = 600,000 \]
Thus, the correct option from the responses provided is:
**60,000x = 600,000**
If \( x \) represents the number of firefighters, the total cost for \( x \) firefighters would be \( 60,000x \).
Given that the total budget for the firefighters' wages and benefits is $600,000, we can write the equation as:
\[ 60,000x = 600,000 \]
Thus, the correct option from the responses provided is:
**60,000x = 600,000**