Question

At an auction, a lucky wealthy collector paid $7,000,000 for three paintings: a Monet, a Picasso, and a van Gogh. The Monet cost $800,000 more than the Picasso. The price of the van Gogh was $200,000 more than twice the price of the Monet. What was the price of each painting

Answer 1

Let the price of Picasso = $ x
Monet price = x + 800,000
van Gogh price = 2(x + 800,000) + 200,000 = 2x + 1,600,000 + 200,000
= 2x + 1,800,000

ATQ, x + x + 800,000 + 2x + 1,800,000 = 7,000,000
==> 4x + 2,600,000 = 7,000,000
==> 4x = 7,000,000 - 2,600,000
==> 4x = 4,400,000
==> x = 4,400,000/4
==> x = 1,100,000

So, price of Picasso = $ 1,100,000
Price of Monet = 1,100,000 + 800,000 = $ 1,900,000
Price of van Gogh = 2(1,100,000) + 1,800,000 = $ 4,000,000

Answer 2

thank you

Answer 3

u r welcome....