Answered

All the kittens in a certain litter which includes billy and peaches are either fluffy or sleek and are friends with one another. Billy a fluffy kitten has 7 more fluffy kitten friends than sleek kitten friends. How many fluffy friends than sleek friends does sleek kitten peaches have?

Answer :

The difference in the number of fluffy kitten friends than sleek kitten

friends, peaches and billy has includes billy and excludes peaches.

  • Peaches has 9 more fluffy kitten friends than sleek kitten friends.

Reasons:

The question parameters are;

The types of kittens in the liter = Fluffy kittens and sleek kittens

Billy's type of cat = Fluffy kitten

Peaches type = Sleek kitten

The relationship between the cats in the litter = Friends

The number fluffy friends billy has = 7 more than sleek kitten friends

Required:

The number of more fluffy friends than sleek friends, the peaches has.

Solution:

Let x represent the number fluffy kittens in the litter, and let y represent

the number of sleek kittens.

  • The number of fluffy friends billy has = 7 + y

Billy is a fluffy kitten which gives;

  • Number of fluffy kittens in the litter = 7 + y + 1 = 8 + y

Therefore;

There are 8 more fluffy kitten than sleek kittens

Peaches is a sleek kitten, therefore;

  • Number of fluffy kitten friends peaches has excluding herself = 8 + y

  • Number of sleek kitten friends peaches has = y - 1

The difference in the number of peaches kitten friends is therefore;

  • Number of fluffy (8 + y) - Number of sleek (y - 1) = 9
  • 8 + y - (y - 1) = 9

Which gives;

  • The number of fluffy friends than sleek kitten friends peaches has = 9

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