Sunday, September 25, 2011

P5 Rate, (proportional thinking)


To avoid the cumbersome reference to "kg of mangoes" or "kg of durians" I am using the algebra approach to simplify this problem:

Let M represent  "1kg of Mangoes"
Let D represent "1kg of Durians"

Given:
12 M   -->  2/5  x  5D    =    2D  
   1D   -->  6M  .......................... (1)

Given:
  1M + 1D --> $3.50     ............(2)

Substitute (2) into (1)
   7M --> $3.50  
   1M --> $3.50 / 7 = $0.50 .....(3)

Substitute (3) back into (2):
   1D -->  $3.50 - $0.50 = $3

Or  (3) into (1):
   1D -->   6 x $0.50 = $3