Question

The junior class is selling donuts for a fundraiser. The students are selling the donuts by the
dozen. If they want to sell one dozen for $12, write an inequality to find how many dozen
donuts they need to sell to make at least $1,000 and find the solution? (1 point)

Answer 1

To find out how many dozen donuts the junior class needs to sell to make at least $1,000, we can set up an inequality.

Let \( x \) represent the number of dozens of donuts sold. Each dozen is sold for $12. We want to find the number of dozens, \( x \), such that the total revenue from selling \( x \) dozens is at least $1,000.

The inequality will be:
\[
12x \geq 1000
\]

Now, we can solve for \( x \):

1. Divide both sides by 12:
\[
x \geq \frac{1000}{12}
\]

2. Simplifying the right side:
\[
x \geq 83.33\ldots
\]

Since they cannot sell a fraction of a dozen, we round up to the nearest whole number. Therefore, they need to sell at least 84 dozens of donuts.

**Solution:**
The junior class needs to sell at least **84 dozen donuts** to make at least $1,000.