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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?

Respuesta :

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

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,

[tex]12=2\times2\times3\\\\9=3\times3[/tex]

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

[tex]\text{LCM (9,12)=}3\times3\times2\times2=36[/tex]

Number of raisins bag he should buy = [tex]\dfrac{36}{9}=4[/tex]

Number of granola bars package he should buy =[tex]\dfrac{36}{12}=3[/tex]

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