Addi has 36 jazz CDs and 48 country CDs. She wants to store as many CDs as possible on each self of a cabinet, while putting the same number of CDs on each self but not mixing jazz and country CDs on the same shelf. How many CDs can go on each shelf and how many shelves does she need?

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Mathematics

9 October, 16:45

Addi has 36 jazz CDs and 48 country CDs. She wants to store as many CDs as possible on each self of a cabinet, while putting the same number of CDs on each self but not mixing jazz and country CDs on the same shelf. How many CDs can go on each shelf and how many shelves does she need?

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Leroy Cole · Answer 1

Given:

36 jazz CDs; 48 country CDs

Store as many CDs as possible on each shelf of a cabinet, putting the same number of CDs without mixing jazz and country Cs on the same shelf.

We need to find the factors of 36 and 48.

1 x 36; 2 x 18; 3 x 12; 6 x 6

1 x 48; 2 x 24; 3 x 16; 4 x 12

There are 3 shelves for jazz CDs. Each shelf contains 12 CDs.

There are 4 shelves for coutnry CDs. Each shelf contains 12 CDs.

She needs a total of 7 shelves with 12 CDs each.