Final answer:
To solve the equation X - 20% of X = 640, we follow the steps of converting the percentage to decimal form, combining like terms, and solving for X. The answer is X = 800.
Step-by-step explanation:
To solve the equation, we need to first translate the English statement into a mathematical equation. Let's represent the unknown quantity by X. The equation is given as: X - 20% of X = 640.
To find the answer, we follow the steps:
- Convert 20% to decimal form: 20% = 0.20.
- Write the equation using the decimal form: X - 0.20X = 640.
- Combine like terms by subtracting 0.20X from X: 0.80X = 640.
- Divide both sides of the equation by 0.80 to solve for X: X = 800.
Therefore, the answer is X = 800.
Learn more about Solving an equation