Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors and the same number of each flavor per bag.

How many bags can he make without having any cookies left over?

Respuesta :

Answer:

Max number of bags is 16.

Step-by-step explanation:

48 - cc

64- v

100 - rc

[tex]\frac{48}{3}= 16[/tex]

[tex]\frac{64}{3}[/tex]= 21

[tex]\frac{100}{3}[/tex]= 33,(3)

Max number of bags is 16.

The number of bags he can make without having any cookies left over is 4 bags.

  • Number of chocolate chips = 48
  • Number of vanilla cookies = 64
  • Number of raisin cookies = 100

How to find highest common factor

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

64 = 1, 2, 4, 8, 16, 32 and 64

100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The highest common factor of 48, 64 and 100 is 4

Therefore, the number of bags he can make without having any cookies left over is 4 bags

Each bag has:

chocolates cookies = 48/4

= 12 each

Vanilla cookies = 64/4

= 16 each

Raisin cookies = 100/4

= 25 each

Learn more about highest common factor:

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