mamona:Sakina has 15 coins. There are 20c coins and 50c coins. The total amount is $4.80. How many 20c coins are there?
Perhaps you could explain the following method for P3 :
The
first step is to assume that all the coins are either 50c coins or 20c coins.
Assuming all 15 coins are 20c coins, total value is only $3
Find the difference compared to $4.80; i.e. $1.80.
(easier to do show this in a table - see below)
2nd stepSince the total is less than $4.80, there should be more 50c coins and fewer 20c coins ( i.e. need more of those with higher value)
Conversely if the total is more than $4.80, there should be fewer 50c coins and more 20c coins. (This scenario is not possible for we had assumed that all are 20c coins).
3rd stepThe 3rd step cuts down the number of iterations required for the 'guess and check' method.
For every 50c coin you increase, you have to decrease the 20c coin as well.
As such, the value increased per coin is only 30c (50c-20c)
As above, assuming all are 20c coins, total value is only $3, we are short of $1.80.
$1.80 / 30c = 6
i.e. increase 6 50c coins and decrease 6 20c coins
As such, the number of 20c coins is 15-6=9
4th stepComplete in table to check
http://www.postimage.org/