A pet store has 96 pets ( dogs, cats, birds) for sale. There are 3 more dog than cats. There are 9 less birds than cats. How many of each type of pet are in the shop?

Cats = 34

Dogs = 37

birds = 25

Step-by-step explanation:

Let :

c = cats

d = dogs

b = birds

from the question, the following equation can be gotten

d = 3 + c  eqn 1

b = c - 9   eqn 2

c + d + b = 96 eqn 3

substitute for b and d in equation 3

3 + c + c - 9 + c = 96

3c - 6 = 96

3c = 102

c = 34

Substitute for d in eqn 1

d = 3 + 34 = 37

Substitute for b in eqn 2

34 - 9 = 25

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl