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

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.

Answer 2

how many hours did she work last month