Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the result.

Question

Which equation could be solved to get the same answer?
Responses
5(x−23)=44.5

5x+23=44.5

5x−23=44.5

5(x+23)=44.5

Answer 1

To find an equation that gives the same answer as Julia's method, let's first analyze her steps:

1. She divided 44.5 by 5: \[ \frac{44.5}{5} \]

2. Then she subtracted 23 from the result: \[ \frac{44.5}{5} - 23 \]

Let's define \(y\) as the result of this operation: \[ y = \frac{44.5}{5} - 23 \]

To find an equivalent equation, we can rearrange this expression to isolate \(y\): \[ y + 23 = \frac{44.5}{5} \]

Now, to eliminate the fraction, we can multiply both sides by 5: \[ 5(y + 23) = 44.5 \]

This is equivalent to Julia's original computation. The corresponding equation presented in the options is: \[ 5(x + 23) = 44.5 \]

Therefore, the correct response is: \[ 5(x + 23) = 44.5 \]