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Kim pays the first [tex]$25[/tex] of a [tex]$248[/tex] dental bill. Her insurance company will pay [tex]\frac{3}{5}[/tex] of the amount that is left. How much will her insurance company pay on the bill?

[tex]\[\$ \square \][/tex]


Sagot :

To determine how much Kim's insurance company will pay on the bill, let's break down the steps and calculations involved:

1. Determine the initial amount of the dental bill:
The total dental bill is \[tex]$248. 2. Subtract Kim's payment from the total bill: Kim pays \$[/tex]25, so we subtract this from the total bill to find out how much remains.

[tex]\[ \text{Remaining amount} = \$248 - \$25 = \$223 \][/tex]

3. Calculate the insurance company's share:
The insurance company will pay [tex]\(\frac{3}{5}\)[/tex] of the remaining amount.

[tex]\[ \text{Insurance payment} = \frac{3}{5} \times 223 \][/tex]

4. Compute the final value for the insurance payment:

Multiplying [tex]\(\frac{3}{5}\)[/tex] by 223 gives us:

[tex]\[ \text{Insurance payment} = 133.79999999999998 \][/tex]

Therefore, the insurance company will pay approximately \$133.80 on the bill.