Question

Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the result.
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:
\[
5(x + 23) = 44.5
\]