Math Problem Statement

The Baulding family has a basic health insurance plan that pays 80 percent of​ out-of-hospital expenses after a deductible of $ 250 per person. If three family members have doctor and prescription drug expenses of $ 982​, $ 1 comma 582​, and $ 183​, ​respectively, how much will the Baulding family and the insurance company each​ pay? How could they benefit from a flexible spending account established through Mr.​ Baulding's employer? What are the advantages and disadvantages of establishing such an​ account? Question content area bottom Part 1 The Baulding family will pay ​$    enter your response here. ​(Round to the nearest​ dollar.) Part 2 The insurance company will pay ​$    enter your response here. ​(Round to the nearest​ dollar.) Part 3 How could they benefit from a flexible spending account established through Mr.​ Baulding's employer? What are the advantages and disadvantages of establishing such an​ account?  ​(Select the best choice​ below.) A. A flexible spending account offers the Bauldings the advantage of paying for all health care expenses with​ pre-tax dollars. The only disadvantage is not having the use of your money all year. B. A flexible spending account offers the Bauldings the advantage of paying for health care expenses not covered by insurance​ (such as unreimbursed medical or dental expenses including​ co-pays to​ doctors, deductibles, and qualified child​ care) with​ pre-tax dollars. Disadvantages include the​ "use it or lose​ it" feature of the​ plan; any contributions to the flexible spending account not used by the end of the year are lost.

Solution

Let's break down the problem step by step.

Part 1: How much will the Baulding family pay?

  1. Total expenses for each family member:

    • $982
    • $1,582
    • $183

    Total medical expenses:
    982+1,582+183=2,747982 + 1,582 + 183 = 2,747 dollars

  2. Deductible:
    The family has a deductible of $250 per person. Since there are three family members, and all have incurred expenses, the total deductible amount will be: 250×3=750250 \times 3 = 750 dollars

  3. Expenses after deductibles:
    Subtract the total deductible from the total expenses: 2,747750=1,9972,747 - 750 = 1,997 dollars

  4. Insurance coverage:
    The insurance covers 80% of the expenses after the deductible: 0.80×1,997=1,5980.80 \times 1,997 = 1,598 dollars

  5. Baulding family's portion:
    Since the insurance covers 80%, the family pays the remaining 20% of the expenses after the deductible plus the deductible amount: (0.20×1,997)+750=399+750=1,149(0.20 \times 1,997) + 750 = 399 + 750 = 1,149 dollars

Answer for Part 1:
The Baulding family will pay $1,149.

Part 2: How much will the insurance company pay?

The insurance company will cover the remaining 80% of the expenses after the deductible, which we calculated earlier: Insurance payment:
1,5981,598 dollars

Answer for Part 2:
The insurance company will pay $1,598.

Part 3: Benefits of a Flexible Spending Account (FSA)

A flexible spending account allows individuals to use pre-tax dollars to pay for health care expenses not covered by insurance, such as co-pays, deductibles, and other out-of-pocket expenses. Let's evaluate the options:

Option B is correct:

A flexible spending account offers the Bauldings the advantage of paying for health care expenses not covered by insurance (such as unreimbursed medical or dental expenses, including co-pays to doctors, deductibles, and qualified child care) with pre-tax dollars. Disadvantages include the "use it or lose it" feature of the plan; any contributions to the flexible spending account not used by the end of the year are lost.

Summary:

  • Baulding family pays: $1,149
  • Insurance company pays: $1,598
  • Best FSA Option: B

Would you like more details or have any questions?

Related Questions:

  1. How would the calculation change if only two family members had medical expenses?
  2. What are some ways to maximize the benefits of a flexible spending account?
  3. Can the Baulding family set a higher deductible plan to reduce premiums? What would be the trade-offs?
  4. How would switching to a different insurance plan affect the overall cost?
  5. What is the maximum allowable contribution to an FSA under current regulations?

Tip:

Consider estimating your yearly medical expenses to determine how much to contribute to a flexible spending account to avoid losing unused funds.

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Math Problem Analysis

Mathematical Concepts

Basic arithmetic
Percentage calculations

Formulas

Total expenses = sum of individual expenses
Total deductible = deductible per person * number of people
Expenses after deductible = total expenses - total deductible
Insurance payment = 80% of expenses after deductible
Family payment = 20% of expenses after deductible + total deductible

Theorems

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Suitable Grade Level

Grades 10-12