Solve the following word problem for the portion, rate, or base.
A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 60% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $5,500. How much will Ana's portion of the bill amount to?
Do not enter units or symbols in your answer.
100 + .6(5500-100) = ?
To solve this word problem, we can break it down into two steps. First, we need to find the amount that Ana will have to pay after the insurance company pays their portion. Then, we can subtract this amount from the total bill to find Ana's portion.
Step 1: Find the amount paid by the insurance company.
Since Ana is responsible for the first $100 of the hospital expense, we can subtract this amount from the total bill:
$5,500 - $100 = $5,400
Now, we need to find 60% of this remaining expense to determine the amount the insurance company pays. To do this, we multiply the remaining expense by 60% or 0.60:
$5,400 x 0.60 = $3,240
Step 2: Find Ana's portion of the bill.
To find Ana's portion, we subtract the amount paid by the insurance company from the remaining expense:
$5,400 - $3,240 = $2,160
Therefore, Ana's portion of the bill amounts to $2,160.