Joseph DeGuizman, an artist, sells both large paintings and small paintings. He sells his small paintings for $60 and his large paintings for $180. At the end of the week he determined that the total amount he made selling 12 paintings was $1200. Determine the number of small and the number of large paintings that he sold.

Question

Alessandro Castaneda

Mathematics

15 November, 23:20

Joseph DeGuizman, an artist, sells both large paintings and small paintings. He sells his small paintings for $60 and his large paintings for $180. At the end of the week he determined that the total amount he made selling 12 paintings was $1200. Determine the number of small and the number of large paintings that he sold.

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Answers (1)

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Simone Wu · Answer 1

8 small paintings 4 large paintings

Step-by-step explanation:

If all 12 had been small paintings, DeGuizman's revenue would have been $720. At $1200, it is $480 more than that. Each large painting generates $120 more revenue than a small painting, so there must have been $480/$120 = 4 of them sold.

8 small paintings and 4 large paintings were sold.