In addition to general medical services, Holly would like to add dental and vision options to her health care plan. The monthly premium for her medical insurance is [tex]$\$[/tex]345[tex]$, of which her employer pays $[/tex]65\%[tex]$. Her employer also offers to pay $[/tex]50\%[tex]$ of the monthly dental premium of $[/tex]\[tex]$38$[/tex] and [tex]$75\%$[/tex] of the [tex]$\$[/tex]23[tex]$ monthly premium for the vision plan that is offered.

If Holly opts for both the dental and vision options in addition to her regular health insurance, how much will Holly be responsible for paying each month?

\begin{tabular}{|c|c|c|}
\hline \multicolumn{3}{|c|}{ Soopergood Insurance } \\
\hline Option & Monthly Premium & Employer Contribution \\
\hline Health Insurance & $[/tex]\[tex]$345$[/tex] & [tex]$65\%$[/tex] \\
\hline Dental & [tex]$\$[/tex]38[tex]$ & $[/tex]50\%[tex]$ \\
\hline Vision & $[/tex]\[tex]$23$[/tex] & [tex]$75\%$[/tex] \\
\hline
\end{tabular}

a. [tex]$\$[/tex]145.50[tex]$
b. $[/tex]\[tex]$260.50$[/tex]
c. [tex]$\$[/tex]263.90[tex]$
d. $[/tex]\[tex]$406.00$[/tex]



Answer :

To determine how much Holly will be responsible for paying each month, we need to calculate her contribution to each of the three plans (medical, dental, and vision) after accounting for her employer's contributions.

First, let’s calculate Holly's employer's contributions to each of the plans.

1. Medical Insurance:
- Monthly Premium: \[tex]$345 - Employer Contribution: 65% Employer's Contribution for Medical = \( 345 \times \frac{65}{100} = 224.25 \) 2. Dental Insurance: - Monthly Premium: \$[/tex]38
- Employer Contribution: 50%

Employer's Contribution for Dental = [tex]\( 38 \times \frac{50}{100} = 19 \)[/tex]

3. Vision Insurance:
- Monthly Premium: \[tex]$23 - Employer Contribution: 75% Employer's Contribution for Vision = \( 23 \times \frac{75}{100} = 17.25 \) Next, we calculate how much Holly has to pay for each of these plans after the employer's contribution. 1. Medical Insurance: - Total Premium: \$[/tex]345
- Employer's Contribution: \[tex]$224.25 Holly's Payment for Medical = \( 345 - 224.25 = 120.75 \) 2. Dental Insurance: - Total Premium: \$[/tex]38
- Employer's Contribution: \[tex]$19 Holly's Payment for Dental = \( 38 - 19 = 19 \) 3. Vision Insurance: - Total Premium: \$[/tex]23
- Employer's Contribution: \[tex]$17.25 Holly's Payment for Vision = \( 23 - 17.25 = 5.75 \) Finally, we sum up Holly's contributions to all three plans to get the total amount she will be responsible for paying each month. Total Holly's Payment = \( 120.75 + 19 + 5.75 = 145.5 \) Therefore, the total amount Holly will be responsible for paying each month is \(\$[/tex] 145.50\).

The correct answer is:
a. \$145.50