Question

Two brands of chocolates are available in packs of $24$ and $15$ respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?

Answer 1

Given, two brands of chocolates are available in pack of 24 and 15 respectively.

We need to buy an equal number of chocolates of both kinds.

For this we find the LCM of 24 and 15

Now, 24 = 2 * 2 * 2 * 3

and 15 = 3 * 5

LCM(24, 15) = 2 * 2 * 2 * 3 * 5 = 120

Now, the number of boxes of pack of 24 = 120/24 = 5

and the number of boxes of pack of 15 = 120/15 = 8