The top three prices for works of art sold at auction in 2013 totaled $311.4 million. These three works of art were a sculpture, a painting, and a photograph. The selling price of the painting was $51.3 million more than that of the photograph. Together, the painting and the photograph sold for $22.4 million more than the sculpture. What was the selling price of each work?

Price of sculpture = $144.5 million

Price of photograph = $57.8 million

Price of painting = $109.1 million

Explanation:

Given:

Total price of 3 arts = $311.4 million

Price of painting + price of photograph + Price of sculpture = $311.4 million ...Eq1

Computation:

We know that,

Price of painting = $51.3 million + price of photographEq2

Price of painting + price of photograph = $22.4 + Price of sculptureEq 3

From Eq 1 and Eq3,

$22.4 + Price of sculpture + Price of sculpture = $311.4 million

2 Price of sculpture = $289 million

Price of sculpture = $144.5 million

Putting the value of sculpture in Eq1

Price of painting + price of photograph + $144.5 million = $311.4 million

Price of painting + price of photograph = $166.9 millionEq4

From Eq2 and Eq4

Price of photograph = $57.8 million

Price of painting = $109.1 million

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