Question

Jackson stationery sells cards in packs of 11 and envelopes in packs of 13.If Kina wants the same number of each, how many packs of cards will she have to buy.

Answer 1

Jackson should buy 13 packs of stationery and 11 packs of envelopes to have same number of each.

Explanation:

Stationery is sold in the packs of 11.

Envelopes are sold in the packs of 13.

Now, as 11 and 13 both do not have any other factors than 1 and itself.

⇒ 11 and 13 are PRIME NUMBERS.

Now, 13 = 1 x 13

and 11 = 1 x 11

So, the LCM of the prime numbers 13 and 11 = 13 x 11 = 143 = 11 x 13

So, for 13 packs of Stationery will have 13 x 11 = 143 pieces

and 11 packs of envelopes will have 11 x 13 = 143 pieces

Hence, Jackson should buy 13 packs of stationery and 11 packs of envelopes to have same number of each.