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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?

Verified Answer :

GamerGirl15

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

JeanaShupp

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 =\(\dfrac{36}{12}=3\)

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