Question 3(Multiple Choice Worth 2 points)
(06.01 MC)
You are the senior class president, and you are selling items for a school fundraiser. You have cell phone cases and t-shirts that have the school logo on them for sale. Each case sells for $\$ 10$, and each t-shirt sells for $\$ 5$. After selling a total of 48 items, you made a total of $\$ 350$. How many cases and t-shirts were sold?
13 cases, 35 t-shirts
22 cases, 26 t-shirts
26 cases, 22 t-shirts
35 cases, 13 t-shirts

Step 1 ：Let's denote the number of cases sold as x and the number of t-shirts sold as y.

Step 2 ：From the problem, we know that the total number of items sold is 48, so we can write the equation as \(x + y = 48\).

Step 3 ：We also know that the total amount of money made is $350, and since each case sells for $10 and each t-shirt sells for $5, we can write the equation as \(10x + 5y = 350\).

Step 4 ：We can solve this system of equations to find the values of x and y.

Step 5 ：The solution to the system of equations is x = 22 and y = 26.

Step 6 ：This means that 22 cases and 26 t-shirts were sold.

Step 7 ：Final Answer: \(\boxed{22 \text{ cases, 26 t-shirts}}\)