Given,angel wrote:Can you explain using model examples? I do not understand your workings. Thanks a lot.nicnac wrote:To give 2 more sweets, he needs 16 (4+12)sweets. Hence, mr Tan has 8 (16/2)nephews.angel wrote:Mr Tan gave sweets to all his nephews. If he gave each nephew 6 sweets, he would be short of 12 sweets. If he gave 4 sweets to each nephew, he would have 4 sweets left.

a) how many sweets does Mr Tan have?

b)how many nephews does Mr Tan have?

Mr Tan has 36 sweets [ 8 * 4 + 4]

If he gives 6 sweets, he has a shortage of 12 sweets ( so he will need 12 more sweets )

If he gives 4 sweets, he has 4 sweets left ( so he has 4 extra sweets)

To give 2 more sweets( meaning change from giving 4 sweets to 6 sweets to each Nephew), he needs 16 sweets[he has to use the 4 extra sweets left over (from giving only 4 sweets) + 12 more to be able to do so]

Since he needs 16 sweets in order to give each child 2 more sweets, therefore there are (16/2 ) 8 kids.

And given,

He gives 4 sweets to each child, he has 4 sweets left...

8*4 + 4 = 36 sweets.

OR

Given,

He gives 6 sweets, he is short of 12 sweets,

8*6 - 12= 36