NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per 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

40,000x-20,000=600,000

60,000x = 600,000

20,000x+40,000=600,000

40,000x +20,000 = 600,000

1 answer

To create an equation based on the given budget for firefighter wages and benefits, we first need to recognize the costs associated with hiring firefighters.

  • The cost of wages for each firefighter is $40,000, so for x firefighters, the total wages would be \( 40,000x \).
  • The cost of benefits for each firefighter is $20,000, so for x firefighters, the total benefits would be \( 20,000x \).

The total cost for both wages and benefits for x firefighters would thus be: \[ 40,000x + 20,000x = 600,000 \] This simplifies to: \[ 60,000x = 600,000 \]

Looking at the provided options, the correct equation that represents the total budget is: \[ 40,000x + 20,000 = 600,000 \]

So we can select that option.

Therefore, the correct answer is: 40,000x + 20,000 = 600,000