Respuesta :
Answer:
First answer
number of cats = 2
number of hamsters = 4
number of birds = 8
number of fishes = 1
Second answer
number of cats = 3
number of hamster = 6
number of birds =2
number of fishes = 4
Step-by-step explanation:
Let the number of cats be x . Let number of birds be y and Let number of fishes be z.
number of hamsters = 2 number of cats
=2x
birds +cats + hamsters + fish = 15
y +x +2x + z = 15
y +3x + z = 15
then number of hamsters = 2x
birds has legs = 2
hamster legs = 4
cats legs = 4
total legs =40
2y+4x+4(2x) =40
2y+12x = 40
y+6x = 20 ,Since x ,y z are natural number ,since x ,y and z are numbers of pets of each kind which have to be natural number ,therefore
Case 1 for y = 2 x = 3
for y = 8 x = 2
for y = 2 and x =3 ,we have
2+3(3) +z = 15
2+9+z = 15
11 +z = 15
z = 15 -11 = 4
Case 2
for y= 8 and x=2 ,we have
8 +3(2) + z = 15
8 +6 +z = 15
z =15-14 = 1
We have two answers for this problem
First answer
number of cats = 2
number of hamsters = 4
number of birds = 8
number of fishes = 1
Second answer
number of cats = 3
number of hamster = 6
number of birds =2
number of fishes = 4
For case 1 fish % = [tex]\frac{1}{15} x100[/tex]=6.67 %
For case 2 fish = [tex]\frac{3}{15} X100=20%[/tex]
