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The problem gives the following information:

- Jillian's goal is to raise **$100**.
- She sells lemonade for **$2 per cup**.
- Her mom gave her a **$30 donation**.

Let $ c $ represent the number of cups of lemonade she needs to sell. We can form the equation as follows:

1. She earns **$2 per cup**, so the total amount earned from selling $ c $ cups is $ 2c $.
2. Her mom already gave her **$30**, so she has $ 2c + 30 $ total money.
3. Her goal is **$100**, so we set the total equal to 100.

Thus, the equation becomes:

\[
2c + 30 = 100
\]

The equation representing the situation is:

\[
\boxed{2}c + \boxed{30} = \boxed{100}
\]

Would you like further details or have any questions? Here are some related questions:

1. How many cups of lemonade will Jillian need to sell to meet her goal?
2. What would happen if the price per cup changed to $3?
3. How would the equation change if Jillian didn’t receive a donation?
4. Can you solve this equation for $ c $ and interpret the result?
5. What if Jillian had already sold some cups before receiving the donation?

**Tip**: When writing equations for real-world problems, always identify how each part of the problem affects the total result and include it in the equation accordingly.

Jillian set up a lemonade stand to raise money for the local animal shelter. She has a goal of raising $100 for the animal shelter. She wants to sell lemonade for $2 per cup. Her mom gave her a $30 donation to start her towards her goal. Write an equation that represents c, the number of cups of lemonade she will need to sell in order for her to meet her $100 goal exactly.

Learn how to write and solve a linear equation to determine how many cups of lemonade Jillian needs to sell to reach her $100 goal. This problem involves algebraic concepts suitable for Grade 6-7 students, using the equation 2c + 30 = 100.

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