Question

The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture, a painting, and a photograph. The

selling price of the painting was $50.5 million more than that of the photograph. Together, the painting and the photograph sold for $17.1 million more than the
sculpture. What was the selling price of each work?

Answer 1

Price of painting =55.7+50.5=106.2
Price of sculpture =2(55.7)+33.4=144.8

Answer 2

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8