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There are 75 houses in the troll's street. If in every 4th house there is a pink troll, a blue troll in every 6th house and a yellow troll in every 8th house, then in how many houses are there all of pink, blue and yellow trolls?

User Toure
by
7.8k points

2 Answers

3 votes

Answer:

3 houses have all pink, blue, and yellow.

User RQube
by
9.2k points
2 votes

Answer:

The answer is 3 houses.

Explanation:

This question is based on the Least Common Multiple (LCM) method. We will find the LCM of the numbers 4, 6 and 8.

4 = 2 x 2 =
2^(2)

6 = 2 x 3 = 2 x 3

8 = 2 x 2 x 2 =
2^(3)

So, LCM is =
2^(3)*3=24

Therefore, at every 24th houses, we will find all three trolls colors.

And 24 is the number of houses we will find all color trolls. Then in a group of 75 houses, it will occur thrice and at every 24th place. Means. 3 houses will have all color trolls.

User Rhaokiel
by
8.0k points
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