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The fire department pays for 75% of medical insurance costs and $150 for dental insurance. If the total combined benefits are $600, how much does the department pay for medical insurance?

  1. $550

  2. $575

  3. $600

  4. $625

The correct answer is: $600

To determine how much the fire department pays for medical insurance, it's important to break down the information given about the total benefits and the specific contributions of the department towards medical and dental insurance. The total combined benefits are $600. According to the details, the fire department covers 75% of the medical insurance costs. Additionally, they contribute a fixed amount of $150 for dental insurance. To find out how much is allocated for medical insurance, you can start by subtracting the dental insurance contribution from the total benefits. Since the fire department pays $150 for dental insurance, you subtract that amount from the total benefits of $600: $600 (total benefits) - $150 (dental insurance) = $450 (amount left for medical insurance). The department pays 75% of the medical insurance cost, hence we can set up the equation where 'x' represents the total medical insurance cost: 0.75x = $450. To find 'x', you would divide both sides of the equation by 0.75: x = $450 / 0.75, x = $600. This means that the total medical insurance cost is $600. The department pays 75% of this total, which is: 0.75