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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

Answer 1

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