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Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. What is the smallest number of packs of each type that she should buy?

Respuesta :

Diatonic254

240

Step-by-step explanation:

This means finding the Least Common Multiple (LCM) of 16, 12, & 20

16 = 2 * 2 * 2 * 2  =2⁴

12 = 2 * 2 * 3  =2²*3

20 = 2 * 2 * 5  =2²*5

Remember that LCM is multiplying the highest power of each prime factor in the prime factorization of the inlvoved numbers;

2² * 3 * 5

=240

Learn More:

For more on LCM check out;

https://brainly.com/question/10786517

https://brainly.com/question/12074757

#LearnWithBrainly

Answer:

Step-by-step explanation:

1. Find Least Common Multiple (LCM)  :  240,

2. So multiply 12,16,20 with a number to get 240.

3. 12.20 = 240 , 16.15 = 240, 20.12 =240.

So Miss Jennifer need to buy as following:

a. 20 packs of pencils (12 in each pack)

b. 15 packs of notebook (16 in each pack)

c. 12 packs of red pens ( 20 in each pack)

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