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$250

per person. If three family members have doctor and prescription drug expenses of

$ 631$631​,

$ 1 comma 647$1,647​,

and

$ 195$195​,

​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 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.

B.

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.

Solution

Part 1: How much will the Baulding family pay?

The family's total expenses for three members are as follows:

  • $631
  • $1,647
  • $195

Step 1: Apply the deductible for each family member

The insurance plan has a deductible of $250 per person, which means the first $250 of expenses for each individual is paid entirely by the family.

  • For the first member:
    $631 - $250 = $381 (expenses eligible for reimbursement)

  • For the second member:
    $1,647 - $250 = $1,397 (expenses eligible for reimbursement)

  • For the third member:
    $195 - $250 = $0 (expenses below the deductible; the family pays the full $195)

Step 2: Calculate the 20% co-insurance paid by the family

The insurance covers 80% of eligible expenses, so the family pays 20% of the eligible expenses for the first two members:

  • For the first member:
    20% of $381 = $76.20
    Total paid by the family for this member: $250 deductible + $76.20 co-insurance = $326.20

  • For the second member:
    20% of $1,397 = $279.40
    Total paid by the family for this member: $250 deductible + $279.40 co-insurance = $529.40

  • For the third member:
    Expenses are below the deductible, so the family pays the full $195.

Step 3: Total family payment

Adding up all costs:

  • Member 1: $326.20
  • Member 2: $529.40
  • Member 3: $195

Total paid by the family: $1,050.60

Rounded to nearest dollar: $1,051


Part 2: How much will the insurance company pay?

The insurance company pays 80% of eligible expenses:

  • For the first member:
    80% of $381 = $304.80

  • For the second member:
    80% of $1,397 = $1,117.60

  • For the third member:
    The insurance pays $0, as expenses are below the deductible.

Total paid by the insurance company: $304.80 + $1,117.60 = $1,422.40

Rounded to nearest dollar: $1,422


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

The correct choice is:

A.

  • Advantages: A flexible spending account (FSA) allows the Bauldings to pay for health care expenses not covered by insurance (e.g., co-pays, deductibles, and other qualified expenses) using pre-tax dollars, reducing taxable income.
  • Disadvantages: The FSA has a "use it or lose it" rule, meaning any unused funds by the end of the year are forfeited.

Summary

  1. Family pays: $1,051
  2. Insurance pays: $1,422
  3. Flexible Spending Account Benefits: Use pre-tax dollars to cover health expenses. Main disadvantage is forfeiture of unused funds.

Would you like a breakdown of FSAs or clarification on calculations?


Related Questions:

  1. How does a flexible spending account compare to a health savings account (HSA)?
  2. Can the Bauldings negotiate lower prescription drug costs to reduce expenses?
  3. What are other ways to minimize out-of-pocket healthcare expenses?
  4. How does the "use it or lose it" rule vary among different employers?
  5. What pre-tax benefit programs are available apart from FSAs?

Tip:

Always estimate your medical expenses for the year before contributing to an FSA to avoid losing unused funds.

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Math Problem Analysis

Mathematical Concepts

Percentages
Deductibles in insurance
Out-of-pocket costs

Formulas

Eligible expenses = Total expenses - Deductible
Insurance coverage = 80% of eligible expenses
Family contribution = Deductible + 20% of eligible expenses

Theorems

Percentage calculation
Basic arithmetic operations

Suitable Grade Level

Grades 9-12