A driver took a day-trip driving at two different speeds. He drove 90 miles at a slower speed and 260miles at a speed 20miles p
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Using a system of equations, it is found that she made:
- 141 free throws.
- 168 two-point field goals.
- 53 three-point field goals.
For the system, we have that:
- x is the number of free throws made.
- y is the number of two-point field goals made.
- z is the number of three-point field goals made.
She made 362 shots, hence:
She scored 636 points, hence:
- Observation: I used 636 as there would not be a solution(number of field goals cannot be a fraction) if 634 was used.
She made 27 more 2-point field goals than free throws, hence:
Then:
Equaling both equations for z, finding x:
Then, to find y and z:
She made:
- 141 free throws.
- 168 two-point field goals.
- 53 three-point field goals.
You can learn more about system of equations at brainly.com/question/25960609