Given:
Combine weight of two cats, Zeus and Athena = 13 pounds
Zeus weighs 5 pounds less than Athena.
To find:
The weight of Athena.
Solution:
Let x pounds be the weight of Athena.
Zeus weighs 5 pounds less than Athena.
Weight of Zeus = x - 5 pounds
Combine weight of two cats, Zeus and Athena = 13 pounds
[tex]x+(x-5)=13[/tex]
[tex]2x-5=13[/tex]
Add 5 on both sides.
[tex]2x=13+5[/tex]
[tex]2x=18[/tex]
Divide both sides by 2.
[tex]x=\dfrac{18}{2}[/tex]
[tex]x=9[/tex]
Therefore, the weight of Athena is 9 pounds.