Bryant Mejia
06/22/2023 · Middle School

Question Translate and solve the following: Three more than the difference of \( 6 s \) and \( 5 s \) is equal to the sum of 12 and 6 .

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To translate the given statement into a mathematical equation, we can break it down step by step. 1. **Identify the expressions**: - The difference of \( 6s \) and \( 5s \) is \( 6s - 5s \). - Three more than this difference means we add 3: \( (6s - 5s) + 3 \). - The sum of 12 and 6 is \( 12 + 6 \). 2. **Set up the equation**: We can now write the equation based on the translation: \[ (6s - 5s) + 3 = 12 + 6 \] 3. **Simplify both sides**: - The left side simplifies to: \[ (6s - 5s) + 3 = s + 3 \] - The right side simplifies to: \[ 12 + 6 = 18 \] 4. **Write the simplified equation**: Now we have: \[ s + 3 = 18 \] 5. **Solve for \( s \)**: To isolate \( s \), subtract 3 from both sides: \[ s = 18 - 3 \] \[ s = 15 \] Thus, the solution is: \[ \boxed{15} \]

Quick Answer

The solution is \( s = 15 \).
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