
Convert English statement into mathematical statement .
1. The difference of nine and three is six
2. The product of twice a number and six is eight plus a number
3. Sixty percent of a number is fifteen
4. The ratio of a number and eighteen is two-thirds
5. Four times the difference of eight and a number is the same as the ratio of five 
and twelve


Here are the mathematical translations of the given English statements:

1. **The difference of nine and three is six**  
   \( 9 - 3 = 6 \)

2. **The product of twice a number and six is eight plus a number**  
   \( 2x \cdot 6 = 8 + x \)  
   (Let \( x \) represent the unknown number.)

3. **Sixty percent of a number is fifteen**  
   \( 0.60x = 15 \)  
   (Let \( x \) represent the unknown number.)

4. **The ratio of a number and eighteen is two-thirds**  
   \( \frac{x}{18} = \frac{2}{3} \)  
   (Let \( x \) represent the unknown number.)

5. **Four times the difference of eight and a number is the same as the ratio of five and twelve**  
   \( 4(8 - x) = \frac{5}{12} \)  
   (Let \( x \) represent the unknown number.)

Would you like further details on solving any of these? Here are 5 follow-up questions for more practice:

1. How do you solve for \( x \) in \( 2x \cdot 6 = 8 + x \)?
2. What is the solution to \( 0.60x = 15 \)?
3. How can you solve \( \frac{x}{18} = \frac{2}{3} \)?
4. How would you simplify \( 4(8 - x) = \frac{5}{12} \)?
5. What are other methods to translate word problems into mathematical equations?

**Tip:** Always define the unknown variable first when translating word problems into algebraic expressions.

Convert English statement into mathematical statement: 1. The difference of nine and three is six 2. The product of twice a number and six is eight plus a number 3. Sixty percent of a number is fifteen 4. The ratio of a number and eighteen is two-thirds 5. Four times the difference of eight and a number is the same as the ratio of five and twelve

Learn how to translate English statements into mathematical equations with examples such as the difference of numbers, product of expressions, ratios, and percents. This guide is ideal for students in Grades 6-8.

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