Question

Problem situation:

Bernie spends $6.50 on ingredients and cups for his lemonade stand.
He charges $1.50 for each cup of lemonade.
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, to the inequality only, or if it is not a solution.


CLEAR CHECK
Solution to BOTH the inequality and the situation

Solution to the inequality ONLY

NOT a solution

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Answer 1

X=18

In order for Bernie to make a profit of at least 20$ then he would need to sell 18 cups, meaning X would have to be 18.

Explanation:

Add 20+6.50

(You add 6.50 because Bernie spends 6.50 on ingredients so you have to make more than it to make profit at all)

Divide 26.50 by 1.50

You get 17.66666....

Estimate to get 18

Check answer

18*1.50=27

27>26.50

Answer 2

9 cups

Explanation: