3. Sharon went bowling with her friends. She paid $\$ 3$ to rent shoes and then $\$ 3.75$ for each game of bowling. She spent a total of $\$ 18$. How many games did Sharon bowl?
a. Write an equation to represent this scenario.
b. Use the equation to solve. Show your work.

Step 1 ：Let's denote the number of games Sharon bowled as x. The total cost of bowling is made up of a fixed cost for shoe rental ($3) and a variable cost for each game ($3.75 per game). The total cost is given as $18. So, we can write the equation as \(3 + 3.75x = 18\).

Step 2 ：To find the number of games Sharon bowled, we need to solve the equation for x.

Step 3 ：Subtract 3 from both sides of the equation to isolate the term with x: \(3.75x = 18 - 3\).

Step 4 ：Simplify the right side of the equation: \(3.75x = 15\).

Step 5 ：Divide both sides of the equation by 3.75 to solve for x: \(x = \frac{15}{3.75}\).

Step 6 ：Simplify the right side of the equation to find the value of x: \(x = 4\).

Step 7 ：So, Sharon bowled \(\boxed{4}\) games.