Duffin House is about to start a promotional blitz for its new book, Physics for the Liberal Arts. The company has $20$ salespeople stationed in Chicago and $30$ in Denver, and it would like to fly $25$ of them to sales fairs at each of Los Angeles and New York. A round$-$trip plane flight from Chicago to LA costs $$200$; from Chicago to NY costs $$150$; from Denver to LA costs $$400$; and from Denver to NY costs $$200.$ For tax reasons, Duffin House needs to budget exactly $$12,500$ for the total cost of the plane flights. How many salespeople should the company fly from each of Chicago and Denver to each of LA and NY$?$

Chicago to LA $$

$$ salespeople

Chicago to NY

$5$

$$

salespeople

Denver to LA $$ salespeople

Denver to NY $$

$$ salespeople

Need Help? $$