SOLUTION: An art dealer sold 16 etchings for $630. He sold some of them at $35 each and the rest at $45 each. How many etchings did he sell at each price?

Question 445448: An art dealer sold 16 etchings for $630. He sold some of them at $35 each and the rest at $45 each. How many etchings did he sell at each price?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number sold @ $35 each
Let = number sold @ $45 each
given:
(1)
(2)
---------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
The number sold @ $35 each is 9
The number sold @ $45 each is 7
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