Problema Solution
A basketball player scored 22 times during one game. She scored a total of 39 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
Answer provided by our tutors
Let
x = the number of free throws
y = the number of two-point shots
We will assume that she didn't make any three-point shots.
Since she scores 22 times we have:
x + y = 22
The total of points is 39 means:
x + 2y = 39
We need to solve the following system of equations:
x + y = 22
x + 2y = 39
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click here to see the system of equations solved for x and y
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x = 5 free throws
y = 17 two-point throws
She made 17 two-point throws and 5 free throws.