Answered

:. Scott is buying drink boxes and fruit snacks as
snacks for a baseball team. Drink boxes
come in packs of 24 and fruit snacks come in
packs of 15. If he wants an equal number of
drink boxes and fruit snacks, how many
packages of each will he need to purchase?
​



Answer :

sqdancefan

Answer:

  • 5 × (24 drink boxes)
  • 8 × (15 fruit snacks)

Step-by-step explanation:

You want the smallest number of packs of 24 drink boxes and packs of 15 fruit snacks that will result in the same number of drink boxes and fruit snacks.

LCM

The least common multiple (LCM) of 24 and 15 is their product, divided by their greatest common factor (GCF). That GCF is 3, so the least common multiple is ...

  [tex]\text{LCM}(24,15)=\dfrac{24\times15}{3}=\dfrac{8\cdot3\cdot5\cdot3}{3}=8\cdot3\cdot5\\\\=(8\cdot3)\times5=8\times(3\cdot5)[/tex]

Scott needs to purchase 5 packs of 24 drink boxes, and 8 packs of 15 fruit drinks.

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Additional comment

Scott will have 120 of each after his purchase.

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