Let's break down the problem step by step:

Angel made a total of 20 baskets, scoring a total of 48 points. The baskets were either 2-point or 3-point shots. We are tasked with finding how many more 2-point shots Angel made compared to 3-point shots.

Let:

• $x$ represent the number of 2-point shots.
• $y$ represent the number of 3-point shots.

From the problem, we have two pieces of information:

1. The total number of baskets: $x + y = 20$
2. The total number of points: $2x + 3y = 48$

We can solve this system of equations to find $x$ and $y$.

Step 1: Solve the first equation for $y$

$y = 20 - x$

Step 2: Substitute $y = 20 - x$ into the second equation

$2x + 3(20 - x) = 48$ $2x + 60 - 3x = 48$ $- x + 60 = 48$ $- x = 48 - 60$ $x = 12$

Step 3: Find $y$

Now that we know $x = 12$, substitute it back into the equation $y = 20 - x$: $y = 20 - 12 = 8$

Step 4: Answer the question

Angel made 12 two-point shots and 8 three-point shots. The difference between the number of 2-point shots and 3-point shots is: $12 - 8 = 4$

So, Angel made 4 more 2-point shots than 3-point shots.

Would you like further details or have any questions?

Here are some related questions for practice:

1. If Angel had made 22 baskets, how many 2-point and 3-point shots would she have made if the total points were still 48?
2. How would the number of shots change if Angel scored 52 points with 20 baskets?
3. If Angel had made only 18 baskets, how many 2-point shots and 3-point shots would she have made for a total of 48 points?
4. What if each basket were worth either 1 or 3 points, and Angel made 48 points from 20 baskets?
5. How would the result change if Angel made 48 points from 24 baskets?

Tip: When solving systems of linear equations, substitution is a powerful method to express one variable in terms of another.