Question

Mrs. Smith works at a music store. Last week, L, she sold 6 more than 3 times the number of CDs she sold this week, T. Mrs. Smith sold a total of 110 CDs throughout the 2 week period. Which system of equations represents the number of CDs she sold last week and this week?

a. 3L - 6 = T
b. L + T = 110
c. 3L + 6 = T
d. L - T = 110
e. L = T

Answer 1

To solve the problem, we create a system of equations based on the given information. The correct system of equations to represent the number of CDs sold last week and this week is L = 3T + 6 and L + T = 110.

Step-by-step explanation:

To solve this problem, we can create a system of equations based on the given information. Let L represent the number of CDs Mrs. Smith sold last week, and T represent the number of CDs she sold this week. From the problem, we know that L = 3T + 6 (she sold 6 more than 3 times the number of CDs sold this week).

We also know that the total number of CDs sold over the two-week period is 110. So, we can write the equation L + T = 110. Therefore, the correct system of equations is:

L = 3T + 6

L + T = 110

Hence, the answer is option b. L + T = 110.