Lesson: Applications of Systems of Equations

A chemistry teacher needs to mix a salt solution with a salt solution to make 20 qt of a salt solution. How many quarts of each solution should the teacher mix to get the desired result?

Jacob has to invest. His intent is to earn interest on his investment. He can invest part of his money at interest and part at interest. How much does Jacob need to invest in each option to get a total return on his ?

Madison starts riding her bike at 20 mph. After a while, she slows down to 12 mph and maintains that speed for the rest of the trip. The whole trip of 70 mi takes her 4.5 h. For what distance did she travel at 20 mph?