SOLUTION: An art dealer sold 12 photographs for $455. He sold some of them at $35 and the rest at $40 each. How many photographs did he sell at each price?

Question 396093: An art dealer sold 12 photographs for $455. He sold some of them at $35 and the rest at $40 each. How many photographs did he sell at each price?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of photos sold @ $35 each
Let = number of photos sold @ $40 each
given:
(1)
(2)
-------------
Divide both sides of (1) by
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)

And, from (2),

5 photos were sold @ $35 each
7 photos were sold @ $40 each

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