Problema Solution
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 provided by our tutors
let
m = the price of Monet
p = the price of Picasso
v = the price of Van Gogh
at an auction, a lucky wealthy collector paid $7,000,000 for three paintings: a Monet, a Picasso, and a Van Gogh:
m + p + v = 7,000,000
The Monet cost $800,000 more than the Picasso.
m = 800,000 + p
The price of theVan Gogh was $200,000 more than twice the price of the Monet
v = 200,000 + 2m
by solving the system of equations
m + p + v = 7000,000
m = 800,000 + p
v = 200,000 + 2m
by solving we find
m = $1,900,000
p = $1,100,000
v = $4,000,000
click here to see the step by step solution of the system of equations
Monet's painting is $1,900,000.
Picasso's painting is $1,100,000.
Van Gogh's painting is $4,000,000.