Question

Rachel wants to buy the same number of gift bags and bows. Gift bags are sold in packs of 6. Bows are sold in packs of 9. What is the least number of gift bags and bows that Racheal can buy?

Answer 1

The question wants the "lowest common multiple" of 6 and 9, so first, lets find some of the miltiples of 6 and 9:

`\text{Multiple}(6)=\mleft\lbrace6,12,18,24,30,36,42,49,\ldots\mright\rbrace`
`\text{Multiple}(9)=\mleft\lbrace9,18,27,36,45,54,\ldots\mright\rbrace`

We can see that 18 is a commom multiple of 6 and 9, and is also the smallest, so the lowest common multiple of 6 and 9 is 18. So the least number of gift bags and bows that Rachel can buy is 18.