To set up the system of equations, let's define our variables:
- Let \( l \) be the number of CDs Ms. Kitts sold last week.
- Let \( t \) be the number of CDs Ms. Kitts sold this week.
According to the problem, we have two key pieces of information that can be translated into equations:
-
Last week, she sold 6 more than 3 times the number of CDs sold this week: \[ l = 3t + 6 \]
-
The total number of CDs sold over the two weeks is 110: \[ l + t = 110 \]
Putting these two equations together, we get the system of equations:
\[ \begin{cases} l = 3t + 6 \ l + t = 110 \end{cases} \]
This system can be solved to find the values of \( l \) and \( t \).