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Gabriella is a high school basketball player. in a particular game, she made some two point shots and some three point shots. gabriella scored a total of 32 points and made 4 more three point shots than two point shots. determine the number of two point shots gabriella made and the number of three point shots she made.



Answer :

From the question above, we can get the answer the points Gabriella made. Gabriella made 7 points of two shots and 6 points of three shots.

How to Solve The Problem?

To determine the number from question above, we use "system of equation". System of equation is a set of two linear equations with two variables.

  • total shots: 32
  • 3 shots: y
  • 2 shots: x
  • Y = 4y, since Gabriella made 4 more three points shots.

Translating the question into an algebraic expression

  • 2x + 3y = 32 and Y = 4x

Determine the number

  • Determine the number of x

y + 3 = x

4 + 3 = x

7 = x

  • Determine the number of y

2x + 3y = 32

2x + 3y = 32

2(7) + 3y = 32

14 + 3y = 32

3y = 32 - 14

3y = 18

y = 6

Hence, the number of two point shots and three point shots Gabriella made is 7 and 6.

Learn more about System of Equation here: https://brainly.com/question/14323743

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