Question

Daisy works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Daisy sold a total of 110 CDs over the 2 weeks. Which system of equations can be used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week?​

Answer 1

The system of equations to find the number of CDs Daisy sold last week (x) and this week (y) is x + y = 110 and x = 3y + 6.

Step-by-step explanation:

The student wants to know which system of equations can be used to determine the number of CDs Daisy sold last week (x) and this week (y), given that she sold a total of 110 CDs over the two weeks and sold 6 more than three times as many CDs last week as she did this week.

To formulate the system of equations, we can use two equations based on the information provided:

1. The total CDs sold over the two weeks is 110, so x + y = 110.
2. Daisy sold 6 more than three times as many CDs last week as this week, so x = 3y + 6.

Here, x represents the number of CDs sold last week, and y represents the number of CDs sold this week. These two equations make up our system, and they can be solved using methods such as substitution or elimination to find the values of x and y.