Let's break down the problem step by step:

Given:

• Angel scored a total of 48 points.
• She made 20 baskets.
• Each basket was worth either 2 points or 3 points.
• We are asked to find how many more 2-point shots Angel made than 3-point shots.

Variables:

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

Equations:

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

Solving the system of equations:

Step 1: Solve the first equation for $x$:

$x = 20 - y$

Step 2: Substitute this expression for $x$ into the second equation:

$2(20 - y) + 3y = 48$ $40 - 2y + 3y = 48$ $40 + y = 48$ $y = 48 - 40 = 8$

Step 3: Find $x$ using $x = 20 - y$:

$x = 20 - 8 = 12$

So, Angel made 12 two-point shots and 8 three-point shots.

Final answer:

The difference is $12 - 8 = 4$. Therefore, Angel made 4 more 2-point shots than 3-point shots.

Do you want any additional details or clarifications?

Related Questions:

1. How many points did Angel score from 3-point shots?
2. How many total points did Angel score from 2-point shots?
3. What is the total number of points from both types of shots?
4. If Angel made 5 more 2-point shots, how many points would she have scored?
5. What is the ratio of 2-point shots to 3-point shots?

Tip:

When solving systems of equations, substituting one variable in terms of another can make it easier to solve both equations step by step.