Jacob high school basketball player

Question

Jacob is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Jacob made a total of 14 shots altogether and scored a total of 36 points. Graphically solve a system of equations in order to determine the number of two point shots made, x, and the number of three point shots made, y.

Answer 1

Hello Jaeda,

I know sometimes the application problem is sort of tedious.

Here is the SEP that I suggest to you when you're trying to solve an application problem like this.

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1. Highlight the data/relationship that has been given by the problem.
2. identify x variable and y variable
3. then write down the relationship in terms of x variable and y variable
4. Finally, set up the equation.

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Below is the process of this question.

Hope it helps.

x - # of 2 point shots

y - # of 3 point shots

total shots = 14 = x (# of 2 point shots) + y( # of 3 point shots)

overall scores = 36 = total of 2 points + total of 3 points

= (# of 2 point shots) * 2 points/shot + ( # of 3 point shots) * 3 points/shot

36 = 2x + 3y

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equation that we got:

x + y = 14 --------- (1)

2x + 3y =36--------(2)

from (1) we can get x = 14 - y --------- (3)

put (3) into (2)

2 (14 - y) + 3y =36

28 - 2y + 3y = 36

y = 8

y = 8, hence, x = 14 - 8 = 6

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The final answer:

x = 6 , y = 8