Lesson: Applications of Systems of Equations in Three Variables

Sophia, Hannah, and Natalie weigh 370 lb in total. If Natalie weighs 20 lb more than Hannah, and Sophia weighs 1.5 times as much as Hannah, how much does each girl weigh?

A clothing store has three different types of hats for sale: straw hats, beanies, and cowboy hats. The straw hat is priced at $13.99, the beanie at $7.99, and the cowboy hat at $14.49. If 100 hats were sold this past quarter, was taken in by sales, and the amount of beanies sold was 10 more than cowboy hats, how many of each did the clothing store sell?

Using the following facts, is it possible to calculate the annual salaries of the three workers? Why?

• The sum of the annual salaries of the warehouse manager and the office manager is .
• The office manager makes more than the truck driver annually.
• The annual salaries of the warehouse manager and the truck driver total .