A neighborhood child is selling lemonade and cookies in front of his house. He has up to 20 cookies available and enough lemonade 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.

Respuesta :

Answer:

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.