A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends \( \$ 270 \) to rent a total of \( 15 \) tubes. Write a system of linear equations that represents this situation. Use \( x \) to represent the number of one-person tubes rented and \( y \) to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
The system of equations is \( x + y = 15 \) and \( \$ x + \$ y = \$ 270 \)
The group rents \( \square \) one-person tubes and \( \square \) cooler tubes.