Answer :
Given:
Mara put down 7.5% on the purchase of her new home.
She put down $14.175.
To find:
The purchase price of the home.
Solution:
Let x be the purchase price of the home.
According to the question,
Put down = 7.5% of the purchase price of the home.
[tex]14.175=\dfrac{7.5}{100}\times x[/tex]
[tex]14.175=0.075x[/tex]
Divide both sides by 0.075.
[tex]\dfrac{14.175}{0.075}=x[/tex]
[tex]189=x[/tex]
Therefore, the purchase price of the home is $189.