A neighborhood child is selling lemonade and cookies in front of his house. He has up to 20 cookies available and enough lemonad
e for 50 glasses. The child makes a $1 profit off of each cookie and $0.50 profit off of each glass of lemonade and hopes to make at least $30. Write a system of inequalities to represent the combination of the number of glasses of lemonade and cookies the child can sell.
The child can sell 15 cookies and 30 lemonade glasses, or 10 cookies and 40 glasses of lemonade, etc
Step-by-step explanation:
If the child wants to make $30 and gets $1 per cookie and $0.50 per lemonade glass, he could sell 15 cookies and 30 glasses, 10 cookies and 40 glasses, etc. He has to sell at least 5 cookies, though, as the lemonade is only worth $25.