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.

Question

(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

GPT-4o mini · Answer

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