Question

Jason is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Jason made a total of 13 shots altogether and scored a total of 20 points. Write a system of equations that could be used to determine the number of free throws Jason made and the number of two point shots he made. Define the variables that you use to write the system.
Answer
Attempt 1 out of 2

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Let
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System of Equations:

Answer 1

Let f = number of free throws Jason made (1 point each).
Let t = number of two-point shots Jason made.

System:
1) f + t = 13 (total shots)
2) f + 2t = 20 (total points)

(If you want the solution: subtract (1) from (2) to get t = 7, then f = 6.)