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Mr. Santiago can buy light fixtures in packages of 12 and light bulbs in packages of 9. He bought the fewest number of light fixtures and light bulbs so that there is exactly one bulb per fixture with none left over.

How many packages of light fixtures and how many packages of light bulbs did Mr. Santiago buy?

I WILL GIVE BRANLIEST PLEASE HELP AND RIGHT ANSWER

Respuesta :

mhanifa

Answer:

  • 3 and 4 packages

Step-by-step explanation:

We need to find the LCM of 12 and 9.

  • 9 = 3*3
  • 12 = 2*2*3

Their LCM is:

  • LCM(12, 9) = 2*2*3*3 = 36

Number of light fixtures and light bulbs is 36.

Number of packages will be:

  • 36/12 = 3 and
  • 36/9 = 4 respectively.

Step-by-step explanation:

First finding LCM of 9 and 12

9 = 3 × 3

12 = 2 × 2 × 3

LCM = 3 × 2 × 2 × 3

LCM = 36

Now,

No. of light fixtures = 36/12 = 3

No. of light bulb = 48/12 = 4