-Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 110 CDs over the 2 weeks.

What system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?

3 answers

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:

  1. Last week, she sold 6 more than 3 times the number of CDs sold this week: \[ l = 3t + 6 \]

  2. 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 \( t \).

just answer the question bro

Sure! The system of equations is:

\[ \begin{cases} l = 3t + 6 \ l + t = 110 \end{cases} \]