Let
x-----> the purchase price of the house
we know that
1) Marika paid [tex]80\%[/tex] of the purchase price of the house with a loan
2) Marika paid the remaining [tex]\$49,400[/tex] of the purchase price with her savings
3) [tex]\$49,400[/tex] represent the [tex]20\%[/tex] of the purchase price
so
[tex]0.20x=49,400[/tex]
Solve for x
Divide by [tex]0.20[/tex] both sides
[tex]0.20x/0.20=49,400/0.20[/tex]
[tex]x=247,000[/tex]
therefore
the answer is
the purchase price of the house is [tex]\$247,000[/tex]
