A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 33P
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Solve the problem by setting up a system of equations. Describe your variables first. Answer in a full
sentence. There will be no credit for a solution without a system of equations.
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are
worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point
baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How
many free-throws, 2-point shots, and 3-point shots did he make?
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