Answer: Weight of Charles = 177.5 pounds
Weight of dos = 22.5 pounds.
Step-by-step explanation:
Let x = Weight of Charles
y = Weight of dog.
As per given , we have the following system of linear equation :
[tex]x+y=200--------(i)\\\\x-20=7y-----------(ii)[/tex]
We can write (ii) as :
[tex]x-7y=20---(iii)[/tex]
Subtract equation (iii) from (i) , we get
[tex]8y=180\\\\ y=\dfrac{180}{8}=22.5[/tex]
Put this value in (1) , we get
[tex]x+22.5=200\Rightarrow\ x=200-22.5=177.5[/tex]
Hence , Weight of Charles = 177.5 pounds
Weight of dos = 22.5 pounds.
