Tyler is organizing a fundraiser for his school. He plans to sell two types of items: t-shirts and water bottles. The t-shirts cost $15 each, and the water bottles cost $5 each. Tyler wants to sell a total of 50 items and make a total of $500. How many t-shirts and water bottles does Tyler need to sell to meet his goal?
Let t be the number of t-shirts that Tyler sells and w be the number of water bottles. We know that t + w = 50 and 15t + 5w = 500.
From the first equation, we can see that w = 50 - t.
Substituting the second equation into the first equation, we get 15t + 5(50 - t) = 500
Expanding the parentheses, we get 15t + 250 - 5t = 500
Combining like terms, we get 10t + 250 = 500
Subtracting 250 from both sides, we get 10t = 250
Dividing both sides by 10, we get t = <<25=25>>25
Substituting this value back into w = 50 - t, we get w = 50 - 25 = <<50-25=25>>25
Tyler needs to sell 25 t-shirts and 25 water bottles to meet his goal. Answer: \boxed{(25, 25)}.