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

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 = $\dfrac{1}{4}$

Part of blue balloon = $\dfrac{1}{6}$

Part of yellow balloon = $\dfrac{1}{10}$

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

$\dfrac{1}{4}\times 600+\dfrac{1}{6}\times 600+\dfrac{1}{10}\times 600\\\\=150+100+60\\\\=310$

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

Answer 2

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