Scarborough High School ordered several replacement books for the mathematics department. When the box of books arrived at the h
igh school, it contained Algebra I, Geometry, and Algebra II textbooks. A label on the box reads: “Contents: 23 books, Weight: 93 lbs.” An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds. The number of Geometry books and Algebra II books combined is one less than the number of Algebra I books. Formulate a system of equations to represent the problem situation.
Solve the system of equations to determine the number of Algebra I textbooks, the number of Geometry textbooks, and the number of Algebra II textbooks that are in the box.
All you have to do is divide the left side of the ratio by 5 and the right side of the ratio by 7. The one that comes out even on both sides is the correct one.