Question

a bake sale sells heart cookies for $4 each. there is also a $16 booth fee. the club wants to make at least $120. what is the inequality for the problem? what is the solution? how many cookies must be sold? write the answer as a sentence.

Explanation:

Step1: Define variable and inequality

Let $x$ = number of cookies sold. Revenue from cookies minus fee ≥ target profit:
$$4x - 16 \geq 120$$

Step2: Isolate the variable term

Add 16 to both sides:
$$4x \geq 120 + 16$$
$$4x \geq 136$$

Step3: Solve for x

Divide both sides by 4:
$$x \geq \frac{136}{4}$$
$$x \geq 34$$

Answer:

1. Inequality: $4x - 16 \geq 120$
2. Solution: $x \geq 34$
3. Sentence: At least 34 cookies must be sold.