bobs employer covers 23% of his familys annual health insurance premium. the balance of the premium is…

bobs employer covers 23% of his familys annual health insurance premium. the balance of the premium is deducted in equal amounts from bobs paycheck 26 times over the calendar year. if $185.30 is withheld from each of bobs paychecks, what is his familys annual health insurance premium?\na. $805.65\nb. $4,817.80\nc. $6,256.88\nd. $20,946.96

bobs employer covers 23% of his familys annual health insurance premium. the balance of the premium is deducted in equal amounts from bobs paycheck 26 times over the calendar year. if $185.30 is withheld from each of bobs paychecks, what is his familys annual health insurance premium?\na. $805.65\nb. $4,817.80\nc. $6,256.88\nd. $20,946.96

Answer

Answer:

C. $$6,256.88$

Explanation:

Step1: Calculate total amount deducted from paychecks

$185.30\times26 = 4817.8$

Step2: Find the percentage Bob pays

$100% - 23%=77%$

Step3: Let the annual premium be $x$. Set up equation

$0.77x = 4817.8$

Step4: Solve for $x$

$x=\frac{4817.8}{0.77}=6256.88$