Question

990 cartons of coke cans and 945 cartons of pepsi cans are to be stacked in a

canteen. If each stack is of the same height and if it contains equal cartons of

the same drink, what would be the greatest number of cartons each stack

would have?​

Answer 1

Answer:

Number of cartons in each stack =18.

Step-by-step explanation:

In order to arrange the cartons of the same drink in the same stack, we have to find the greatest number that divides 144 and 90 exactly.  

Using Euclid's division algorithm, to find the H.C.F. of 144 and 90.

144=90 × 1+54

90=54 × 1+36

54=36 × 1+18

36=18 × 2+0

So, the H.C.F. of 144 and 90 is 18.

Number of cartons in each stack =18.