Answer:
Step-by-step explanation:
To find the number of dogs for which Zoey and Weston charge the same amount, we can set up an equation where the total cost for both of them is equal.
Let's denote:
�
x as the number of dogs walked.
�
�
C
Z
as the total cost for Zoey.
�
�
C
W
as the total cost for Weston.
For Zoey:
�
�
=
60
+
3
�
C
Z
=60+3x
For Weston:
�
�
=
30
+
5
�
C
W
=30+5x
To find the number of dogs for which they charge the same amount, we'll set these two equations equal to each other and solve for
�
x:
60
+
3
�
=
30
+
5
�
60+3x=30+5x
Now, let's solve for
�
x:
60
−
30
=
5
�
−
3
�
60−30=5x−3x
30
=
2
�
30=2x
�
=
30
2
x=
2
30
�
=
15
x=15
So, for
�
=
15
x=15 dogs, Zoey and Weston charge the same amount.
Now, let's find out how much they charge for 15 dogs. We can plug this value of
�
x into either of the equations, let's use Zoey's:
�
�
=
60
+
3
(
15
)
C
Z
=60+3(15)
�
�
=
60
+
45
C
Z
=60+45
�
�
=
105
C
Z
=105
Therefore, for 15 dogs, both Zoey and Weston charge the same amount, which is $105.
