Eileen correctly solved a math problem by first adding 38 to 176, then dividing the sum by 6.

Question

Which equation could be solved to get the same answer?
Responses
6m + 38 = 176

6m − 38 = 176

6(m − 38) = 176

6(m + 38) =176

closest answer

Answer 1

To find an equivalent equation that Eileen's method solves, we can start with the steps she took:

1. She added 38 to 176: \[ 176 + 38 = 214 \]

2. Then she divided the sum by 6: \[ \frac{214}{6} = \frac{107}{3} \approx 35.67 \]

Now we want to establish an equation that results in \(m = \frac{107}{3}\).

Since she divided the sum (214) by 6, we can reverse this operation to find an equation involving \(m\): \[ m = \frac{214}{6} \] To eliminate the division, multiply both sides by 6: \[ 6m = 214 \]

Now, since we need 214 in terms of adding or subtracting other values to equal 176, we can incorporate 38. Rearranging gives: \[ 6m = 176 + 38 \]

So the equivalent equation represented in the answer choices is: \[ 6m + 38 = 176 \]

Thus, the correct option is: 6m + 38 = 176.