Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 206: 40

$x=50,y=150$

As per the statement: $x+y=200$ and $100x+80y=17000$ After plugging the value of variable $x$ after simplify from equation first in the second equation, then we get $100(200-y)+80y=17000 \implies -20y=-3000$ or, $y=150$ Now, $x+150=200 \implies x=50$ Thus, $x=50,y=150$