Question

a school class is selling cookies for a fundraiser. the class has made 120 cookies to sell, and the supplies to make the cookies cost $22. the class wants to make at least $50 from selling cookies
1.which inequality should be used to determine the possible prices (p) the class can sell the cookies for to reach its goal?
a. 120p-22≤50
b. 120p-22≥50
c. 120p-22>50
d. 120p-22<50
2.the class should sell each cookie for _____ $0.60.
a. at most
b. exactly
c. greater than
d. at least
e. less than

Answer 1

1. To determine the possible prices (p) the class can sell the cookies for to reach their goal of making at least $50 after covering the costs, we need to set up the inequality. The total revenue from selling the cookies is \(120p\), and after paying $22 for supplies, the amount left should be at least $50. Therefore, the inequality is:

\[
120p - 22 \geq 50
\]

So the correct answer is:
**b. 120p - 22 ≥ 50**

2. To find the price per cookie (p) that meets this condition, we can solve the inequality:
\[
120p - 22 \geq 50
\]
Adding 22 to both sides:
\[
120p \geq 72
\]
Dividing by 120:
\[
p \geq 0.60
\]

This means the class should sell each cookie for:
**d. at least** $0.60.