Question

Bernie spends $6.50 on ingredients and cups for his lemonade stand. he charges $1.50 for each cup of lemonade. he will only sell whole cups of lemonade (not 0.75 cups, 1.5 cups, etc.). how many cups, x , will bernie need to sell to make a profit of at least $20 ? inequality that represents this situation: 20≤1.50x−6.50 drag each number to show if it is a solution to both the inequality and the problem situation or to the inequality only, or if it is not a solution.

Answer 1

Bernie would need to sell at least 18 cups of lemonade to make a profit of at least $20.

Step-by-step explanation:

To find the number of cups Bernie needs to sell to make a profit of at least $20, we need to set up an inequality. Let x represent the number of cups Bernie sells. The profit Bernie makes is given by the equation 1.50x - 6.50. So the inequality that represents the situation is 20 ≤ 1.50x - 6.50.

To solve this inequality, we add 6.50 to both sides to isolate the variable. This gives us 26.50 ≤ 1.50x.

Then, we divide both sides of the inequality by 1.50 to solve for x. We get x ≥ 17.67. Since Bernie can only sell whole cups of lemonade, he would need to sell at least 18 cups to make a profit of at least $20.