Question

the Drama club is running a lemonade stand to raise money for it's 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.​) quick please I'm being timed

Answer 1

Here's what I get.

Explanation:

You have two conditions.

1. The club must raise at least $500, and that comes from the sale of lemonade and water.

Let c = cans of lemonade

and b = bottles of water

Then the first condition is

(1) 2c + 1.50b ≥ 500

2. The club can accept a maximum of 360 cans and bottles

Your second condition is

(2) c + b ≤ 360

Your system of inequalities is

`\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right]`