Question

When Marika bought her house she paid 80% of the purchase price of the house with a loan. She paid the remaining 49,400 of the purchase price with her savings. What was the purchase price of her house?

Answer 1

Let

x-----> the purchase price of the house

we know that

1) Marika paid
`80\%` of the purchase price of the house with a loan

2) Marika paid the remaining
`\$49,400` of the purchase price with her savings

3)
`\$49,400` represent the
`20\%` of the purchase price

so

`0.20x=49,400`

Solve for x

Divide by
`0.20` both sides

`0.20x/0.20=49,400/0.20`

`x=247,000`

therefore

the answer is

the purchase price of the house is
`\$247,000`