Question

144 carton of coke cans and 90 cartons of pepsi cans are to be stacked in a store. if each stack is same height and is to contain cartons of same drink then find least number of stacks required

Answer 1

144 cartons of Coke cans and 90 cartons of Pepsi cans are to be

stacked in a canteen.

144 = 3 x 3 x 2x 2x 2x 2

90 = 3 x 3 x 2 x 5

H.C.F ( 144 , 90) = 3 x 3 x 2 = 18.

∴ We have 18 number of cartons each stack.

Answer 2

Answer:

The least number of stacks required is 18

Step-by-step explanation:

Number of cartons of coke cans = 144

Number of cartons of pepsi cans = 90

∴ The greatest number of cartons in one stock = HCF of 144 and 90

By applying Euclid’s division lemma

144 = 90 × 1 + 54 90 = 54 × 1 + 36 54

= 36 × 1 + 18 36

= 18 × 2 + 0

∴ HCF = 18

Hence the greatest number cartons in one stock = 18