Question

If Charles lost 20 pounds, he would weigh seven times as much as his dog. Together they weigh 200 pounds. How much does each weigh?

Answer 1

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 :

$x+y=200--------(i)\\\\x-20=7y-----------(ii)$

We can write (ii) as :

$x-7y=20---(iii)$

Subtract equation (iii) from (i) , we get

$8y=180\\\\ y=\dfrac{180}{8}=22.5$

Put this value in (1) , we get

$x+22.5=200\Rightarrow\ x=200-22.5=177.5$

Hence ,  Weight of Charles = 177.5 pounds

Weight of dos = 22.5 pounds.