SOLUTION: A fruit vendor bought 36 pineapples for $30. He sold some at $1.29 each and the rest at $1.09, therby gaining $13.64. How many did he sell at each price?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A fruit vendor bought 36 pineapples for $30. He sold some at $1.29 each and the rest at $1.09, therby gaining $13.64. How many did he sell at each price?      Log On

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Question 24586: A fruit vendor bought 36 pineapples for $30. He sold some at $1.29 each and the rest at $1.09, therby gaining $13.64. How many did he sell at each price?
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
He bought them for $30 and made $13.64 (profit). So the total selling price
adds up to $43.64.
Let x = the number sold at $1.29 ea.
Then (36 -x) must be the number sold at $1.09
%281.29%29+%2A+x+%2B+%281.09%29+%2A+%2836+-+x%29+=+43.64
+%281.29+%2A+x%29+-+%281.09+%2A+x%29+%2B+39.24+=+43.64
.2+%2A+x+=+4.4
+x+=+4.4+%2F+.2
+x+=+22
22 sold at $1.29 and (36 - 22) = 14 sold at $1.09
check:
%281.29+%2A+22%29+%2B+%281.09+%2A+14%29+=+28.38+%2B+15.26
%281.29+%2A+22%29+%2B+%281.09+%2A+14%29+=+43.64
checks OK