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The problem states that Sarah's investment grew by 22% to reach $427. We are tasked with finding how much she initially invested.

Let $ x $ be the initial investment. The equation based on the given growth is:

\[
x + 0.22x = 427
\]

This simplifies to:

\[
1.22x = 427
\]

To solve for $ x $, divide both sides by 1.22:

\[
x = \frac{427}{1.22}
\]

Let me calculate that.Sarah initially invested $350.

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

1. What would Sarah's investment be if it grew by 30% instead of 22%?
2. How much would her investment be after growing by 22% if she had invested $400?
3. What formula can be used to calculate investment growth for any percentage?
4. How would the result change if the final amount was $500 instead of $427?
5. How long might it take for an investment to grow by 22%, assuming a fixed annual interest rate?

**Tip**: When dealing with percentage increases or decreases, remember to convert percentages to their decimal form before applying them to equations!

Sarah's investment in stock grew 22% to $427. How much did she invest?

Learn how to calculate the initial investment when an investment grows by 22% to $427. This problem involves algebraic concepts and percentage growth. Suitable for students in Grades 6-8.

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