Ahouse was haunted by a combined total of 51 guosts, goblins, and ghouls. on friday, there were half as many ghosts as there were goblins. on saturday, two-thirds of the ghouls each became a ghost. on sunday, 11 of the ghosts each became a goblin, and the ratio of ghouls to goblins became 1 : 3. if no other changes occurred, how many ghosts are there?

 There are 15 ghosts in a haunted house.

Explanation:

Since we have given that

Total number of ghosts, goblins and ghouls = 51

On Friday,

Let the number of goblins be x

Let the number of ghosts be

Let the number of ghouls be

On Saturday,

Two-thirds of the ghouls each became a ghost,

So, it becomes

Now, number of ghost becomes

and number of ghouls becomes

On Sunday,

Number of ghosts each became a goblin = 11

So, Number of goblins becomes

Now, according to question , we have a ratio of ghouls to goblins i.e. 1:3

So, it becomes,

So, number of ghosts is given by

So, there are 15 ghosts in a haunted house.

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