Question

Kevin makes snack bags that each contain a box of raisins and a granola bar. Each package of raisins contains 9 boxes. The granola bars come 12 to a package. What is the least number he can buy of each so he has exactly the same number of each. How many packages of each should he buy?

Answer 1

Answer with explanation:

Given : Kevin makes snack bags that each contain a box of raisins and a granola bar. Each package of raisins contains 9 boxes. The granola bars come 12 to a package.

Now,

$12=2\times2\times3\\\\9=3\times3$

The least number he can buy of each so he has exactly the same number of each will be :-

$\text{LCM (9,12)=}3\times3\times2\times2=36$

Number of raisins bag he should buy = $\dfrac{36}{9}=4$

Number of granola bars package he should buy =$\dfrac{36}{12}=3$

Answer 2

You must find the least common multiple so he will have the exact same number of each item
9,18,27,36
12,24,36