Question

Preston and Kim are fostering homeless kittens. Together they have fostered 47 kittens. Preston has fostered one less than one third as many kittens as Kim. How many kittens has Preston and Kim each fostered?

Answer 1

36, 11

Explanation:

Preston and Kim 47 kittens

Kim has fostered X number of kittens

Preston has fostered X/3 - 1 ( 1/3 of Kim - 1)

Total number of kitten will be Preston +Kim

X +1/3X - 1 = 47

Add 1 to both sides

X + 1/3X = 48

If 4/3X is 48, X is 36

If Kim has 36kittens, Preston fostered 47- 36 =11

To check

1/3 of 36 = 12

Subract 1 = 11

Answer 2

Let's use variables to represent the number of kittens each person has fostered.

Let x be the number of kittens Kim has fostered.

Then, according to the problem, Preston has fostered one less than one third as many kittens as Kim, so Preston has fostered:

(1/3)x - 1

We know that the total number of kittens fostered is 47. Therefore, we can write an equation:

x + (1/3)x - 1 = 47

Simplifying and solving for x:

(4/3)x = 48

x = 36

So Kim has fostered 36 kittens.

To find out how many kittens Preston has fostered, we can substitute x = 36 into the expression we found earlier:

(1/3)x - 1 = (1/3)(36) - 1 = 11

Therefore, Preston has fostered 11 kittens.

In summary, Kim has fostered 36 kittens and Preston has fostered 11 kittens.