The baseball team is running a fundraiser to raise money for new equipment. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The team needs to raise at least $500 to buy a few pieces of equipment. The students can accept a maximum of 360 cans and bottles.
a)Write a system of inequalities that can be used to represent this situation.
b) The baseball team sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to buy new equipment? Justify your answer.