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The Newport Crab Company marks the location of its crab pots with colored balloons. They mark every fourth pot with a red balloon, every sixth pot with a blue balloon, and every tenth pot with a yellow balloon. After placing 600 crab pots in the bay, how many pots have three different colored balloons attached?

Respuesta :

Answer: There are 310 pots that have three different colored balloons attached.

Step-by-step explanation:

Since we have given that

Number of crab pots in the bay = 600

Part of red balloon = [tex]\dfrac{1}{4}[/tex]

Part of blue balloon = [tex]\dfrac{1}{6}[/tex]

Part of yellow balloon = [tex]\dfrac{1}{10}[/tex]

So, Number of pots that have different colored balloons attached is given by

[tex]\dfrac{1}{4}\times 600+\dfrac{1}{6}\times 600+\dfrac{1}{10}\times 600\\\\=150+100+60\\\\=310[/tex]

Hence, there are 310 pots that have three different colored balloons attached.

Carlson12345

Answer:

10

Step-by-step explanation:

LCM of 4 6 and 10 is 60 so every 60th crab pot has 3 balloons

600/60 = 10

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