We appreciate your visit to Eileen correctly solved a math problem by first adding 38 to 176 then dividing the sum by 6 Which equation could be solved to get. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, let's follow step-by-step what Eileen did and find the equivalent equation:
1. Understand Eileen's Steps:
- Eileen added 38 to 176. This gives a sum:
[tex]\( 176 + 38 \)[/tex].
- She then divided that sum by 6. So, the calculation she did can be expressed as:
[tex]\(\frac{176 + 38}{6}\)[/tex].
2. Finding the Equivalent Equation:
We want to find an equation that gives us the same result as Eileen's method.
- Let's think in reverse: If the final step was dividing by 6, the equivalent equation would initially involve multiplying. Thus, multiplying usually cancels out dividing:
- Multiply both sides of the equation [tex]\(\frac{176 + 38}{6}\)[/tex] by 6 to remove the division:
- [tex]\(6 \times \frac{176 + 38}{6} = 176 + 38\)[/tex].
- Next, undo the addition: If Eileen added 38 at the beginning, we reverse that by subtracting 38 from both sides:
- [tex]\(6m - 38 = 176\)[/tex].
3. Conclusion:
The equation [tex]\(6m - 38 = 176\)[/tex] is the equation that could be solved to result in the same answer that Eileen got in her original steps.
So the correct choice among the given options is:
[tex]\[ 6m - 38 = 176 \][/tex]
1. Understand Eileen's Steps:
- Eileen added 38 to 176. This gives a sum:
[tex]\( 176 + 38 \)[/tex].
- She then divided that sum by 6. So, the calculation she did can be expressed as:
[tex]\(\frac{176 + 38}{6}\)[/tex].
2. Finding the Equivalent Equation:
We want to find an equation that gives us the same result as Eileen's method.
- Let's think in reverse: If the final step was dividing by 6, the equivalent equation would initially involve multiplying. Thus, multiplying usually cancels out dividing:
- Multiply both sides of the equation [tex]\(\frac{176 + 38}{6}\)[/tex] by 6 to remove the division:
- [tex]\(6 \times \frac{176 + 38}{6} = 176 + 38\)[/tex].
- Next, undo the addition: If Eileen added 38 at the beginning, we reverse that by subtracting 38 from both sides:
- [tex]\(6m - 38 = 176\)[/tex].
3. Conclusion:
The equation [tex]\(6m - 38 = 176\)[/tex] is the equation that could be solved to result in the same answer that Eileen got in her original steps.
So the correct choice among the given options is:
[tex]\[ 6m - 38 = 176 \][/tex]
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