Question

An artist sold different amounts of paintings and drawings on friday and saturday. on friday, she sold 10 paintings and 3 drawings for a total of $368. on saturday, she sold 14 paintings and 3 drawings for a total of $508. let p represent the price of a painting and d represent the price of a drawing. the following system of equations represents this situation: 10p 3d=368 14p 3d=508 how much did the artist sell each piece of art for?

Answer 1

Answer:
painting = $35
drawing = $ 6
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working:

(14p + 3d) - (10p + 3d) = 508 - 368
14p + 3d - 10p - 3d = 140
4p = 140
p = 35

14(35) + 3d = 508
490 + 3d = 508
3d = 18
d = 6

Therefore, a painting costed $35 while a drawing costed $6