Question

Stamps come in boxes of six envelopes come in boxes of 21 Cindy wants to purchase the smallest number of stands and envelopes so that she will have exactly one envelope first how many boxes of stamps and envelopes should Cindy purchase

Answer 1

Answer: To find the smallest number of stamp boxes and envelope boxes that Cindy should purchase to have exactly one envelope first, we need to determine the least common multiple (LCM) of 6 and 21.

The LCM is the smallest multiple that both numbers have in common.

Prime factorize each number to find the LCM:

6 = 2 * 3

21 = 3 * 7

The LCM is the product of the highest powers of all the prime factors:

LCM = 2 * 3 * 7 = 42

Therefore, Cindy should purchase 42 boxes of stamps and 42 boxes of envelopes in order to have exactly one envelope first.