Answer:
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Step-by-step explanation:
Let us first analyse the given information in the question:
→ Small paints (lets call them [tex]s[/tex]) sell for $25.80 Per Painting, thus:
[tex]25.80s[/tex] gives as the profit for [tex]s[/tex] number paints sold.
→ Large paints (lets call them [tex]l[/tex]) sell for $56.25 Per Painting, thus:
[tex]56.25l[/tex] gives as the profit for [tex]l[/tex] number paints sold.
We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:
[tex]s=3\\l=6[/tex] Eqn(1).
Thus the total profit of all paintings sold would be:
[tex]PROFIT= 25.80s+56.25l[/tex] which by pluggin in Eqn(1) values gives
[tex]PROFIT=25.80*3+56.25*6\\PROFIT=414.90[/tex]
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.