Boxes A and B contain some counters

box A contains more counters than box B

box A: 4k counters

Box B: k+9 counters

what is the smallest possible value of K

4

Step-by-step explanation:

Box A = 4k

Box B = k+9

Box A > Box B

=> 4k > k+9

Subtracting k to both sides

=> 4k-k > 9

=> 3k > 9

Dividing both sides by 3

=> k > 3

So, The smallest possible value of k is 4

Step-by-step explanation:

If we take 4 as k then

4k = 4 (4) = 16 boxes

k + 9 = 4 + 9 = 13 boxes