Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-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 l, the number of CDs she sold last week, and t, the number of CDs she sold this week?
Let l be the number of CDs she sold last week and t be the number of CDs she sold this week.
The problem states that Ms. Kitts sold 6 more than 3 times the number of CDs she sold this week. So, the number of CDs she sold last week can be represented as 3t + 6.
The problem also states that Ms. Kitts sold a total of 110 CDs over the 2 weeks. So, the total number of CDs she sold can be represented as l + t = 110.
Therefore, the system of equations that can be used to find l and t is:
l = 3t + 6
l + t = 110