SOLUTION: Martin bought 2 kilograms of bananas and 3 kilograms of oranges for $16.50. If oranges were 0.50 cents a kilogram more than the bananas, how much did the oranges and cost per kilog

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Martin bought 2 kilograms of bananas and 3 kilograms of oranges for $16.50. If oranges were 0.50 cents a kilogram more than the bananas, how much did the oranges and cost per kilog      Log On


   



Question 1029743: Martin bought 2 kilograms of bananas and 3 kilograms of oranges for $16.50. If oranges were 0.50 cents a kilogram more than the bananas, how much did the oranges and cost per kilogram
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = the cost / kg of the bananas
+c+%2B+.5+ = the cost / kg of the oranges
-------------------
+2c+%2B+3%2A%28+c+%2B+.5+%29+=+16.5+
+2c+%2B+3c+%2B+1.5+=+16.5+
+5c+=+15+
+c+=+3+
and
+c+%2B+.5+=+3.5+
-----------------
Bananas cost $3 / kg
Oranges cost $3.50 / kg
---------------------
check:
+2c+%2B+3%2A%28+c+%2B+.5+%29+=+16.5+
+2%2A3+%2B+3%2A%28+3+%2B+.5+%29+=+16.5+
+6+%2B+3%2A3.5+=+16.5+
+6+%2B+10.5+=+16.5+
+16.5+=+16.5+
OK