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. Which system of equations can be used to find /, the number of CDs she sold last week, and t, the number of CDs she sold this week?
Question
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. Which system of equations can be used to find /, the number of CDs she sold last week, and t, the number of CDs she sold this week?
Solution
The system of equations that can be used to find l (the number of CDs she sold last week) and t (the number of CDs she sold this week) is:
- l = 3t + 6
- l + t = 110
In the first equation, it is given that Ms. Kitts sold 6 more than 3 times the number of CDs that she sold this week. So, the number of CDs sold last week (l) is equal to 3 times the number of CDs sold this week (t) plus 6.
In the second equation, it is given that Ms. Kitts sold a total of 110 CDs over the 2 weeks. So, the number of CDs sold last week (l) plus the number of CDs sold this week (t) is equal to 110.
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