If 20 sweets are to be distributed among some boys and girls such that each girl gets 2 sweets and each boy gets 3 sweets, what are the numbers of boys and girls?
1. The number of girls is not more than 5
2. If each girl gets 3 sweets and each boy get 2 sweets, the number of sweets required for the children will still be the same
(b)
Given that 2G+3B=20
Using statement I that number of girls is not more than 5, we have G=1, B=6 and G=4, B=4. since we cannot get a single solution from this statement it is not sufficient to answer the question
If statement II is used, 3B+2G=20, we have G=4 and B=4
Hence, statement II alone is sufficient to answer the question