Final answer:
After calculating the total amount of water needed by multiplying 10/3 cups by 45 people, we find that 150 cups are needed, and since the water cooler contains 160 cups, there is indeed enough water for everyone.
Step-by-step explanation:
The student has asked if there is enough water for all 45 people on the team to fill their water bottles with 10/3 cups of water each from a cooler that contains 160 cups of water. To find the total amount of water needed for the team, we multiply the amount each person takes (10/3 cups) by the number of people (45). This gives us 150 cups of water needed. Since the cooler contains 160 cups of water, there is enough water for all 45 team members to fill their water bottles. Therefore, the correct answer is (a) Yes, there is enough water for all 45 people to fill their water bottles.