Answer:
$100
Explanation:
The ratio of food spending to total spending is:
[tex]\frac{80}{800}[/tex]Because he plans to spend $80 for food from the $800.
Then, if this ratio is constant, we can calculate how much money will he spend on food using the following equation:
[tex]\frac{80}{800}=\frac{x}{1000}[/tex]Where x is spending on food when the total spending is $100.
So, solving for x, we get:
[tex]\begin{gathered} \frac{80}{800}\cdot1000=\frac{x}{1000}\cdot1000 \\ 100=x \end{gathered}[/tex]Therefore, he will spend $100 on food.