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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.

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.

User Luek Baja
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1 Answer

5 votes

Answer:

Explanation:

Let us represent the number of books as:

Algebra 1 = A1

Algebra 2 = A2

Geometry = G

A1 + A2 + G = 23........Equation 1

An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds.

4A1 + 5A2 + 3G = 93

User Thiezar
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7.7k points