Algebra II System of Equations

Question

Scarborough High School ordered several replacement books for the mathematics department. When the box of books arrived at the high 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.

1. Formulate a system of equations to represent the problem situation.
2. 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.

 

Write a summary of your findings to submit to the Scarborough ISD Financial Office that includes a representative system of equations, calculations on solving the system of equations, and verification of the reasonableness of the solution in terms of the problem situation.

Answer 1

23 books:

A1 + A2 + G = 23

Weigh 93 pounds

4(A1) + 3G + 5(A2) = 93

Number of books

A2 + G = A1 - 1

Can you solve the system and answer?