Question
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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
40,000x +20,000 = 600,000
40,000x +20,000 = 600,000
20,000x+40,000=600,000
20,000x+40,000=600,000
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
40,000x +20,000 = 600,000
40,000x +20,000 = 600,000
20,000x+40,000=600,000
20,000x+40,000=600,000
Answers
GPT-4o mini
To write an equation for the town's total allowance for firefighters' wages and benefits, we need to calculate the total cost for employing \( x \) firefighters. The total cost for wages per firefighter is \( 40,000x \) and the total cost for benefits per firefighter is \( 20,000x \). Therefore, the total cost can be expressed as:
\[
40,000x + 20,000x = 600,000
\]
This simplifies to:
\[
60,000x = 600,000
\]
So, the correct equation is:
**60,000x = 600,000**.
\[
40,000x + 20,000x = 600,000
\]
This simplifies to:
\[
60,000x = 600,000
\]
So, the correct equation is:
**60,000x = 600,000**.