Question

a candy gram fundraiser charges $5 per candy gram plus a $20 setup cost. the goal is to raise more than $170. what is the inequality for the problem? what is the solution? how many candy grams must be sold? write the answer as a sentence.

Explanation:

Step1: Define variable and inequality

Let $x$ = number of candy grams. Total revenue is $5x - 20$ (subtract setup cost). We need this > 170:
$$5x - 20 > 170$$

Step2: Isolate term with $x$

Add 20 to both sides:
$$5x > 170 + 20$$
$$5x > 190$$

Step3: Solve for $x$

Divide both sides by 5:
$$x > \frac{190}{5}$$
$$x > 38$$

Answer:

1. Inequality: $5x - 20 > 170$
2. Solution: $x > 38$
3. More than 38 candy grams must be sold.