Let $x$ represent the number of 2-point shots, and $y$ represent the number of 3-point shots. From the information given, we have two equations:

1. The total number of baskets is 20: $x + y = 20$

2. The total points scored is 48: $2x + 3y = 48$

Step 1: Solve the first equation for $y$

From the first equation: $y = 20 - x$

Step 2: Substitute into the second equation

Substitute $y = 20 - x$ into the second equation: $2x + 3(20 - x) = 48$ Simplify: $2x + 60 - 3x = 48$ $-x + 60 = 48$ $-x = 48 - 60$ $-x = -12$ $x = 12$

Step 3: Solve for $y$

Now substitute $x = 12$ back into the equation $y = 20 - x$: $y = 20 - 12 = 8$

Conclusion:

Angel made 12 two-point shots and 8 three-point shots. Therefore, the number of 2-point shots she made is: $12 - 8 = 4$ So, Angel made 4 more 2-point shots than 3-point shots.

Do you want more details or have any questions?

Here are some related questions to practice:

1. What if Angel made 15 two-point shots and 5 three-point shots? How many total points would she have scored?
2. If Angel had scored 60 points with the same conditions, how would the number of 2-point and 3-point shots change?
3. How would the solution change if Angel made 25 baskets?
4. What would happen if Angel scored 48 points but could make only 3-point shots?
5. How many baskets would Angel need to score 48 points if all her baskets were 3-pointers?

Tip: When solving a system of equations, it’s often helpful to express one variable in terms of the other to simplify the substitution.