The distance from St.Louis to Chicago is 111miles more than the distance from Chicago to Minneapolis. The sum of the two distances is 697 miles. . I

Question

Find the distance from St.Louis to Chicago. I am also learning the systems of applications in class.

 

Answer 1

Hi Kim, let x be the distance from Chicago to Minneapolis. Then x + 111 would be the distance from St. Louis to Chicago. Create an equation with this information.

 

x + (x + 111) = 697

 

x + x + 111 = 697

 

2x + 111 = 697

 

Subtract 111 from both sides:

 

2x = 586

 

Divide both sides by 2:

 

x = 293

 

The distance from Chicago to Minneapolis is 293 miles.

 

The distance from St. Louis to Chicago is 293 + 111 miles, or 404 miles.

 

Questions?

 

Answer 2

What is the rest of the problem? Is it asking for the distance from Chicago to Minneapolis?

 

I'll assume this is what you want. Here's how to solve it:

 

Let x = the distance from Chicago to Minneapolis. Then the distance from St. Louis to Chicago is x + 111.

 

The sum of the distances is 697 miles, so ...

 

x + (x + 111) = 697

 

Solving for x:

 

2x + 111 = 697

 

2x = 697 - 111 = 586

 

x = 586/2 = 293 miles.

 

The distance from Chicago to Minneapolis is 293 miles. If you also needed the distance from St. Louis to Chicago, how would you find this? (Hint: plug this x into x + 111.)