522 The drama club is running a lemonade stand to raise money for its new production. 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 club needs to raise at least $$ \$ 500 $$ to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles. Write a system of inequalities that can be used to represent this situation. The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer.

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Let $$ x $$ be the number of cans of lemonade and $$ y $$ be the number of bottles of water. The system of inequalities is: $$ \begin{cases} 2x + 1.5y \geq 500 \ x + y \leq 360 \ x \geq 0 \ y \geq 0 \end{cases} $$ When 144 cans are sold, at least 142 bottles of water must be sold to meet the \$500 requirement.

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