Question

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?

Answer 1

10

Explanation:

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

600/60 = 10

Answer 2

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

Explanation:

Since we have given that

Number of crab pots in the bay = 600

Part of red balloon =
`(1)/(4)`

Part of blue balloon =
`(1)/(6)`

Part of yellow balloon =
`(1)/(10)`

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

`(1)/(4)* 600+(1)/(6)* 600+(1)/(10)* 600\\\\=150+100+60\\\\=310`

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