scored a total of 27 points in a basketball game. During the game, all her points come from 3-point shots and 2-point shots. The number of 3-point shots she made is 4 more than her 2-point shots. How many 3-point shots -point shots did she make? A 2 three-point shots and 6 two-point shots B 3 three-point shots and 7 two-point shots C 6 three-point shots and 2 two-point shots

## Step 1<br />Let's denote the number of 2-point shots as \(x\). According to the problem, the number of 3-point shots is \(x + 4\).<br /><br />## Step 2<br />The total score from 2-point shots is \(2x\), and the total score from 3-point shots is \(3(x + 4)\).<br /><br />## Step 3<br />The total score from both types of shots is 27, so we can set up the equation:<br />### \(2x + 3(x + 4) = 27\)<br /><br />## Step 4<br />Solving this equation, we find that \(x = 3\), which means there were 3 two-point shots.<br /><br />## Step 5<br />Since the number of 3-point shots is 4 more than the number of 2-point shots, there were \(3 + 4 = 7\) three-point shots.