Question

Zoe is a high school basketball player. In a particular game, she made some free

throws (worth one point each) and some two point shots. Zoe made a total of 11 shots
altogether and scored a total of 15 points. Write a system of equations that could be
used to determine the number of free throws Zoe made and the number of two point
shots she made. Define the variables that you use to write the system.

Answer 1

Explanation:

Let's define the variables as follows:

Let x be the number of free throws Zoe made.

Let y be the number of two point shots Zoe made.

We know that Zoe made a total of 11 shots altogether, so we can write the equation:

x + y = 11

We also know that Zoe scored a total of 15 points. Since free throws are worth 1 point each and two point shots are worth 2 points each, we can write the equation:

x + 2y = 15

These two equations form a system of equations that can be used to determine the number of free throws Zoe made and the number of two point shots she made.