Question

Katherine works flexible hours. This month she worked a total of 60 hours, which was 3 more than 5 times as many hours as she worked last month

Answer 1

how many hours did she work last month

Answer 2

Let \( x \) be the number of hours Katherine worked last month. According to the problem, we can set up the following equation to represent the information given:

\[
60 = 5x + 3
\]

Now, we will solve for \( x \).

1. Subtract 3 from both sides of the equation:

\[
60 - 3 = 5x
\]

This simplifies to:

\[
57 = 5x
\]

2. Next, divide both sides by 5:

\[
x = \frac{57}{5}
\]

Calculating this gives:

\[
x = 11.4
\]

So, Katherine worked \( 11.4 \) hours last month.

To verify, we can check the calculation using the original condition. Five times the hours worked last month is:

\[
5 \times 11.4 = 57
\]

Adding 3 gives:

\[
57 + 3 = 60
\]

This confirms that our solution is correct. Thus, Katherine worked **11.4 hours** last month.