You placed a 15% down payment on a new home. Given that the amount of the down payment was $36,782.12, determine the price of the home. Round your answer to the nearest cent.
a.
$147,128.48
c.
$245,214.13
b.
$183,910.60
d.
$367,821.20

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Hagrid
The correct answer for this question is this one:

You placed a 15% down payment on a new home. Given that the amount of the down payment was $36,782.12, determine the price of the home. Round your answer to the nearest cent.
a. $147,128.48
b. $183,910.60
c. $245,214.13
d. $367,821.20

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Answer:

$245,214.13

Step-by-step explanation:

Given: You placed a 15% down payment on a new home. Given that the amount of the down payment was $36,782.12.

To Find: the price of the home

Solution:

Let the price of house be x

Since we are given that You placed a 15% down payment on a new home and amount of the down payment was $36,782.12.

So, [tex]15\% \times x = 36782.12.[/tex]

[tex]\frac{15}{100}x = 36782.12.[/tex]

[tex]x = 36782.12 \times \frac{100}{15}[/tex]

[tex]x = 245214.1333[/tex]

Thus the price of the home is $245,214.13