Question

Addison worked 11 more hours this week than last week. In total, she worked 63 hours this week and last week. Using 2h+11=63, how many hours (h) did Addison work last week?

Answer 1

To find out how many hours Addison worked last week, we can use the equation you provided, which is:

\[
2h + 11 = 63
\]

In this equation, \( h \) represents the number of hours Addison worked last week.

First, we can isolate \( 2h \) by subtracting 11 from both sides of the equation:

\[
2h = 63 - 11
\]

This simplifies to:

\[
2h = 52
\]

Next, we divide both sides by 2 to solve for \( h \):

\[
h = \frac{52}{2}
\]

This gives us:

\[
h = 26
\]

Thus, Addison worked **26 hours** last week.

To verify, we can calculate the hours she worked this week. Since she worked 11 more hours this week than last week, we have:

\[
h + 11 = 26 + 11 = 37
\]

Now, adding the hours from both weeks:

\[
26 + 37 = 63
\]

This confirms that the total hours worked is correct. Therefore, Addison worked **26 hours** last week.